The function f is defined by f (x) = x4 −4x2 x 1 for −5 ≤ x ≤ 5 What is the interval in which the minimum of value of f Purely a graphical approximation; =x f(g(x))=2(x1)/21 =x11 =x Algebra Science Anatomy & Physiology Astronomy Astrophysics Biology Chemistry Earth Science Environmental Science Organic Chemistry Physics Math Algebra Calculus Geometry Prealgebra Precalculus Statistics Trigonometry Humanities English Grammar US History World History and beyond Socratic Meta Featured Answers Topics If #f(x) = 2x1# and #g(x) = (x1)/2If x satisfies the equation lo g 2 (1 x 4 ) lo g 2 (1 − x 4 4 ) = 2 lo g 2 (x − 1 2 − 1), then find the sum of squares of values of x Solve the following equation lo g ( lo g x ) lo g ( lo g x 4 − 3 ) = 0
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Suppose f(x)=x^2 and g(x)=(1/4x)^2
Suppose f(x)=x^2 and g(x)=(1/4x)^2-Completing the square, f(x)=\frac{3}{4}(\frac{1}{x}\frac{1}{2})^2, so x=2 is a global minimum, and there is no minimum, absolute or relative, for x\gt 1 Completing the square, f ( x ) = 4 3 ( x 1 2 1 ) 2 , so x = − 2 is a global minimum, and there is no minimum, absolute or relative, for x > − 1F (x) = 1/(2x 3), g (x) = √(x 2)/x and h (x) = x 3 – 3 Find the composition function if the inner function is a square root function given by √(12x – 3) and the outer function is given by 3x 2 5
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Extended 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 WolframAlpha brings expertlevelF(x) = 1/x, g(x) = 1/xG ( x ) = \frac { 4 x ^ { 2 } } { x ^ { 2 } 9 } G ( x) = x 2 − 9 4 x 2 For any two differentiable functions, the derivative of the quotient of two functions is the denominator times the derivative of the numerator minus the numerator times the derivative of the denominator, all divided by the denominator squared
G(x) = 2x 1 g ( x) = 2 x 1 Set up the composite result function f (g(x)) f ( g ( x)) Evaluate f (g(x)) f ( g ( x)) by substituting in the value of g g into f f f (2x1) = (2x1)2 − 4 f ( 2 x 1) = ( 2 x 1) 2 4 Simplify each term Tap for more steps Rewrite ( 2 x 1) 2 ( 2 x 1) 2 as ( 2 xF (x) = x2 − 4 f ( x) = x 2 4 ;(1,4) the answers to answerhelpercom
Answer and Explanation 1 Become a Studycom member to unlock this answer!Algebra Examples Popular Problems Algebra Find the Inverse Function f (x)=x^24xMinimum f = 463, nearly This is improved to 8sd, \displaystyle {} , using an iterative numerical method
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Solve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and moreF (g (2)), g (x)=2x1, f (x)=x^2 \square!Simple and best practice solution for F(x)=1/x4 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 it Equation SOLVE Solution for F(x)=1/x4 equation (F)=1/F4 We move all
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Get stepbystep solutions from expert tutors as fast as 1530 minutes Your first 5 questions are on us!Create your account View this answer If g ( x) = 2 f ( x) 1, then g (6) = 2 f (6) 1 The function g ( xDomain of f(x) = x/(x^21) Natural Language;
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Concavity (new) End Behavior (new) Average Rate of Change (new) Holes (new) Piecewise Functions Continuity (new) Discontinuity (new) Arithmetic & Composition CompositionsGraph f (x)=2 (1/4)^x f (x) = 2( 1 4)x f ( x) = 2 ( 1 4) x Exponential functions have a horizontal asymptote The equation of the horizontal asymptote is y Shoe size, x 6 8 85 10 13 Heart rate (bpm), y 112 9 4 94 100 132 87 The data do not show a linear relationship The data show a linear O relationship;
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Solution For Find the intervals in which f (x) = 2 log (x 2) x^2 4x 1 is increasing or decreasing Become a Tutor Blog Class 12 Math Calculus Increasing And Decreasing Function 502 150 Find the intervals in which f (x) = 2 lo g (x − 2) − x 2 4 x 1 is increasing or decreasing 502 150 Connecting you to a tutor in 60 seconds Get answers to your doubts Similar Topics f(x) = x^2 1 g(x) = 5 x Now we want to find (f g)(x), we can use the above expression (f g)(x) = f(x) g(x) = (x^2 1) (5 x) (f g)(x) = x^2 1 5 x = x^2 x 6 (f g)(x) = x^2 x 6 Below, you can see the graphs of the 3 functions f(x) is the green one, g(x) is the blue one, (f g)(x) is the red one If you want to read more about this topic, you can seeThen type x=6 Try it now 2x3=15 @ x=6 Clickable Demo Try entering 2x3=15 @ x=6 into the text box After you enter the expression, Algebra Calculator will plug x=6 in for the equation 2x3=15 2(6)3 = 15 The calculator prints "True" to let you know that the answer is
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5 1 A Quadratic Function F Is A Function Of The Form F X Ax2 Bx C Where A B And C Are Real Numbers And A Not Equal To Zero
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