Explanation For the domain, what's under the square root sign is ≥ 0 Therefore, 4x −x2 ≥ 0 x(4 −x) ≥ 0 Let g(x) = √x(4 − x) We can build a sign chart aaaaxaaaa−∞aaaaaaa0aaaaaa4aaaaaaa∞ aaaaxaaaaaaaa − aaaa0aa aaaaaaaDetermine whether the given quadratic function has a maximum value or a minimum value,and then find the valueAlgebra Find the Domain and Range f (x)=x/ (x^24) f (x) = x x2 − 4 f ( x) = x x 2 4 Set the denominator in x x2 −4 x x 2 4 equal to 0 0 to find where the expression is undefined x2 − 4 = 0 x 2 4 = 0 Solve for x x Tap for more steps Add 4 4 to both sides of the equation x 2 = 4 x 2 = 4
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F(x)=x^2-4x-X^ {2}4x7=0 x 2 − 4 x − 7 = 0 All equations of the form ax^ {2}bxc=0 can be solved using the quadratic formula \frac {b±\sqrt {b^ {2}4ac}} {2a} The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction All equations of the form a x 2 b x c = 0 can be solved using the quadratic formulaExtended Keyboard Examples Upload Random Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music
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Consider the given function ,f (x) = sinloge ( 1−x4−x2 )Now ,for loge 1−x4x2 to be defined 1−x4−x2 > 01−x4−x2 > 04−x2 >0 , x = 1 and 1−x > 04−x2 >0 1 > x4> x2 x< 1x2 −4Find the Derivative f(x)=1/(x^24) Rewrite as Differentiate using the chain rule, which states that is where and Tap for more steps To apply the Chain Rule, set as Differentiate using the Power Rule which states that is where Replace all occurrences of with DifferentiateF (x) is decreasing when x = −1 Explanation To determine whether f (x) is increasing or decreasing at x = −1 More Items x^ {2}3x2x64 Apply the distributive property by multiplying each term of x2 by each term of x3 x^ {2}x64 Combine 3x and 2x to get x x^ {2}x2 Add 6 and 4 to get 2
The real valued function f(x) satisfies the equation 2f(1 x) 1 = xf(x) for all x Then (x^2 x 4) f(x) equals asked in Mathematics by Niharika (756k points) nmtc; Explanation f (x) = x2 − 4 In order for f to have an inverse, it must be a bijection That is, it must be an injection and a surjection So we must restrict the domain and codomain appropriately It is standard that the square root operation returns positive values, so we use that as the basis for our restriction fR → R,f (x) = x2 −4Critical values at x = 0, x = ± 1 Explanation Given f (x) = 2 x 4 − 4 x 2 6 Find the first derivative f ′ (x) = 8 x 3 − 8 x The function f is defined by \displaystyle{f{{\left({x}\right)}}}={x}^{{4}}{4}{x}^{{2}}{x}{1} for \displaystyle{5}\le{x}\le{5}
See the answer See the answer See the answer done loadingThe given function is f(x) = (x25)4 f ( x) = ( x 2 5) 4 Differentiate the function with respect to x x d dx f(x) = d dx(x25)4 f′(x) = 4(x25)4−1 d dx (x2 5) Apply Chain and PowerFree math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with stepbystep explanations, just like a math tutor
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The average rate of change of f(x) from x=a to x=b is \frac{f(b)f(a)}{ba} In our case a=1, b=117, and f(x)=3x^25x4 We have f(117)=3(117)^2 5(117)4 I think thisSteps Using Derivative Rule for Sum f ( x ) = x ^ { 4 } 8 x ^ { 2 } x 2 f ( x) = x 4 − 8 x 2 x 2 The derivative of a polynomial is the sum of the derivatives of its terms The derivative of a constant term is 0 The derivative of ax^ {n} is nax^ {n1} The derivative of a polynomial is the sum of the derivatives of its termsSimple and best practice solution for F(x)=2x^2x4 equation Check how easy it is, and learn it for the future Our solution is simple, and easy to understand, so
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Explanation The function is f (x) = 1 √4 − x2 What'under the √ sign must be ≥ 0 and we cannot divide by 0 Therefore, 4 − x2 > 0 ⇒, (2 − x)(2 x) > 0 ⇒, {2 − x > 0 2 x > 0 ⇒, {x < 2 x > − 2Select a few x x values, and plug them into the equation to find the corresponding y y values The x x values should be selected around the vertex Tap for more steps Replace the variable x x with − 1 1 in the expression f ( − 1) = ( − 1) 2 − 4 f ( 1) = ( 1) 2 4 Simplify the resultStart your free trial In partnership with You are being redirected to Course Hero I want to submit the same problem to Course Hero Cancel
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If f^2(x) refers to f(x)^2 then f^2(x) = 4x 15 —> f(x) = sqrt(4x 15) If f^2(x) refers to f(f(x)) then suppose f(x) = ax b —> f(f(x)) = af(x) b —> f(fOur online expert tutors can answer this problem Get stepbystep solutions from expert tutors as fast as 1530 minutes Your first 5 questions are on us!Simple and best practice solution for F(x)=6x^24 equation Check how easy it is, and learn it for the future Our solution is simple, and easy to understand, so
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Graph {eq}f(x) = 4 (x 2)^2 {/eq} Graphing Quadratic Function If we are given a function with a degree of 2, we should always remember that the graph of this function is a parabolaSimple and best practice solution for F(x)=3x24 equation Check how easy it is, and learn it for the future Our solution is simple, and easy to understand, soWelcome to Sarthaks eConnect A unique platform where students can interact with teachers/experts/students to get solutions to their queries
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For each value of x the point on f (x) = x^2 4 is 4 units below the point with the same x value on g (x) = x^2 so take the graph of g (x) and move it down 4 units to obtain the graph of f (x) I'm confused by second part of your question I only see 3 intercepts not 5 Get an answer for 'Integrate f(x) = 1/(x^2 4)' and find homework help for other Math questions at eNotesThis problem has been solved!
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X 2 • (x 2 2) Add up the last 2 terms, pulling out common factors 2 • (x 2 2) Step5 Add up the four terms of step 4 (x 2 2) • (x 2 2) Which is the desired factorization Polynomial Roots Calculator 22 Find roots (zeroes) of F(x) = x 2 2 Polynomial Roots Calculator is a set of methods aimed at finding values of x for whichDivide f4, the coefficient of the x term, by 2 to get \frac{f}{2}2 Then add the square of \frac{f}{2}2 to both sides of the equation This step makesPlease be sure to answer the questionProvide details and share your research!
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Algebra Find the Properties f (x)= (x2)^24 f (x) = (x − 2)2 4 f ( x) = ( x 2) 2 4 Use the vertex form, y = a(x−h)2 k y = a ( x h) 2 k, to determine the values of a a, h h, and k k a = 1 a = 1 h = 2 h = 2 k = 4 k = 4 Since the value of a a is positive, the parabola opens up Opens UpSee the answer Consider the function f (x)=x^24/ (x^24) (a) Find any vertical and horizontal asymptotes (b) Find the intervals where f increases or decreases (c) Find the local maximum and minimum valuesDirectrix y = 17 4 y = 17 4 Direction Opens Down Vertex (2,4) ( 2, 4) Focus (2, 15 4) ( 2, 15 4) Axis of Symmetry x = 2 x = 2 Directrix y = 17 4 y = 17 4 Select a few x x values, and plug them into the equation to find the corresponding y y values The x x
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(a) graph each quadratic function by determining whether its graph opens up or down and by finding its vertex,axis of symmetry,yintercept,and xintercepts,iSimple and best practice solution for f(x)=2(x2)(x4)4 equation Check how easy it is, and learn it for the future Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework If it's not what You are looking for type in the equation solver your own equation and let us solve itGiven f (x) = 3x 2 – x 4, find the simplified form of the following expression, and evaluate at h = 0 This isn't really a functionsoperations question, but something like this often arises in the functionsoperations context This looks much worse than it is, as long as I'm willing to take the time and be careful
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Find the Derivative f(x)=x^(4/5)(x4)^2 Rewrite as Expand using the FOIL Method Tap for more steps Apply the distributive property Apply the distributive property Apply the distributive property Simplify and combine like terms Tap for more steps Simplify each term Tap for more steps Multiply byΔ = b 24ac Δ = 6 24·2·(3) Δ = 60 The delta value is higher than zero, so the equation has two solutions We use followingAnswer to Το O f(x) = Το 1/2 < x < 1/4 1/4 < x < 1/4 1/4 < x This problem has been solved!
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Consider x^ {2}4x3 Factor the expression by grouping First, the expression needs to be rewritten as x^ {2}axbx3 To find a and b, set up a system to be solved a=3 b=1 Since ab is positive, a and b have the same sign Since ab is negative, a and b are both negative The only such pair is the system solutionSolution for F(x)=2x^24x^25x3 equation (F)=2F^24F^25F3 We move all terms to the left (F)(2F^24F^25F3)=0 We get rid of parentheses2F^24F^25FF3=0 We add all the numbers together, and all the variables 2F^26F3=0 a = 2;Simple and best practice solution for f(x)=x^2x4 equation Check how easy it is, and learn it for the future Our solution is simple, and easy to understand, so
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