The function g is related to one of the parent functions described in ah earller g(x) = |x – 1| + 5

Q: The function h(x) = (x + 4)° can be expressed in the form f(9(x)) where f(x) x°, and g(x) is defined…

A: Given, hx = x+45  and  fgx = hx fx = x5 We have to find the function gx.

Q: The function h(x) = 1 can be expressed in the form f(g(x)) where g(x) = (x – 6) and х — 6 f(x) is…

A: Givenh(x)=1x-6h(x)=f(g(x))⇒f(g(x))=1x-6replace g(x) by x-6⇒f(x-6)=1x-6

Q: Suppose f'(x) = x² - 1. Then the graph of f is concave upward on 0 (-∞0,0) O (-1,1) (0,00) O (-∞,…

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Q: The function h(x) = (x + 8) can be expressed in the form f(g(x)), where f(x) = x, and g(x) is…

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Q: Find the local and absolute extremum for the functions over their domain: 3. f(x) = x*(x - 2)7

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Q: Suppose that h(x) = f(x) / g(x) . The function f can be even, odd, or neither. The same is true for…

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Q: 1 If f(x) = and g(x) =-, 2x +1 1 find f (g(x)) and its domain. - 2

A: Composite function :  A composite function is created when one function is substituted into another…

Q: 1 Let f (x) %3D x²- - 2x Find the requested information for the function f and its graph. Enter N/A…

A: For concave up,…

Q: The function h(x)=1/x−4, can be expressed in the form f(g(x)), where g(x)=(x−4), and f(x) is defined…

A: Given: ------------------------------------------------------------------------------------------…

Q: The function h(x)= 1 over x-8, can be expressed in the form f(g(x)), where g(x)= (x-8) , and f(x))…

A: use composition of function to find the function f(x).

Q: 5. The function f(x) is defined as: 4x3 +17x2 + 13x +36 x -4 ontinuous for all values of x. What…

A: solution:-f(x)=4x3+17x2+13x+36x+4     x<-45x2+2x+a                       x≥-4f(x) is continuous…

Q: 3. a. f(-2)= b. f(1) = c. lim f(x) =

A: Note :- This is multiple sub parts questions and according to our company guideline we can do…

Q: 3. Find the local extreme points of the following function: f (x) = x3 – f(x) = x³ x² + 2x + 1

A: Differentiating with respect to x, we get Now solving the first derivative by setting it to zero,…

Q: 1. Let X be the graph of f(x) = x²/3 given below that is, X is the subset of R x R satisfying the…

A: Sol

Q: 5. Suppose f(x) is an odd function. Prove that g(x)=f(x)| is an even function.

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Q: Verify that f = g by using a graphing utility to graph f and g in the same viewing window and (b)…

A: Using a graphing calculator we graph f(x) = ln√x(x2 + 1)   Then using a graphing calculator we…

Q: 9. Given the function V1-x x1 find f(-8), f(0), ƒ(10), and draw the graph of f(x).

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Q: The domain and range of function g(z)= 1-/x.11

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Q: 1) Find the domain of the real-valued function given below 3 f(x) = VT – 2

A: Given that: f(x)=x-3x-2

Q: 3 Find a formula for f-'(x) if f(x) = ( x – 1 x + 1 f-'(x) = (5-1)'(2) =

A: Solve the function

Q: 7 Find the most general function F such that F'(): - 5V?.

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Q: 1. Consider the function f(x) = -x² – 4x – 3 a) Determine f(-4), f(a), and f(a+ h).

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Q: The function g is defined by g(x) x € R, x+ In 2 (a) Differentiate g(x) to show that g'(x)=- (e* –…

A: We use Quotient rule

Q: 1 The function h(x) can be expressed in the form f(g(x)), where g(x) = (x + 3), and f(x) is x + 3…

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Q: 9. The graphs of power functions of the form f(x) = x", where n2 2 is an even integer, always…

A: Given: The graph of power function of the form f(x)=xn , where n≥2 is an even integer always contain…

Q: The function h(x) form f(g(x)) where f(x) = x², and g(x) is defined (x + 7) can be expressed in the…

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Q: The function f is decreasing on I if _____ when x1 < x2.

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Q: The function h(x) ==x-1 represents the composite h(x) = f(g(x)). If f(x) = 2x – 1, what is g(x)?

A: Please refer the attached image for complete solution. Given : hx=43x-1, hx=fgxfx=2x-1To calculate :…

Q: | the area of the region enclosed between f(x) x² + 3x + 20 and g(x) = 2x² + 2x. te: The graph above…

A: Please refer to the image below

Q: Suppose that a function y = f(x) is increasing on the interval [5,7]. (a) Over what interval is the…

A: We need to find the interval , in which f(x+4) increasing.

Q: Find the domain of this function : H(x) = 1 over x^2-4

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Q: (4) Consider f(x) = x³ +x* + 1. (a) Graph f(x) where the function is increasing, decreasing. Where…

A: Since solve the first question for you. If you want any specific question to be solved then please…

Q: 6. If a function f satisfies f(2) = 3, and – 3< f'(x) < 3 whenever 2 < x < 5, what is the range of…

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Q: The function h(x) 1 can be expressed in the form f(g(x)) where g(x) = (x + 7) and f(x) is x + 7…

A: Given ,  The function h(x) = 1/(x+7) can be express es in the form f(g(x)) where g(x) = (x + 7)  We…

Q: The graphs of power functions of the form f(x) = xn , where n is an even integer, always contain the…

A: The graphs of power functions of the form, f(x)=xn, where,n is an even integer ,always contain the…

Q: Find all points on the graph of, for which f′(x) = 0 and those for which f′(x) does not exist.

A: Given: f(x) = x2-123  To find: The points on the graph for, which f'(x) = 0 and those for which…

Q: The function h(x)=1x+7h(x)=1x+7 can be expressed in the form f(g(x))f(g(x)) where…

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Q: Suppose g is an even function and let h = f ° g . Is h alwaysan even function?

A: Suppose g is an even function and let h = f ° g . Our aim is to tell whether h is always an even…

Q: Suppose g is an odd function and let h = f ° g . Is h always an odd function? What if f  is odd?…

A: Given  g is an odd function and let h=f∘g. To find  Is h always an odd function? What if f  is odd?…

Q: A periodic function f(x) is defined as 3, f(x) = {x, f(x+2) -1≤x<0, 0≤x<1. Based on the above…

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Q: If f (x) = x – 4.5x – 12x + 20, find analytically all values of x for which f' (x) = 0. Enter your…

A: Derivative of a function at some points becomes zero means that the slope of the tangent to the…

Q: Express the given function h(x) = 3√(x2 - 9) as a composition of two functions f and g so that h(x)…

A: Given function is  h(x)= x2-93.

Q: Let h(x) = f(x)g(x). If f(x) = 2x² +1, g(1) = 0, and g'(1) = –1, what is h' (1)? Do not include…

A: Given, hx=fxgx where fx=2x2+1, g1=0  and  g'x=-1 Put x=1 in f(x) f(1)=212+1f(1)=3 The derivattive of…

Q: 1 The function h(x): can be expressed in the form f(g(x)) where g(x) = (x – 6) and - 6 f(x) is…

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Q: If the function defined by 6x + 144 x # -24 g(x) = x + 24 k is continuous at x = -24 x = -24, then…

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Q: The function of f is increasing on I if ______ when x1 < x2.

A: We have to find when function is increasing

Q: does y=e9-x2-2 exist? whaet is the domain and range of the function if exists

A: Given function is  y=e9-x2-2 which is of the form of exponential function and it exist.