Find functions f and g so that f o g=H for H(x)=|2x 2 -1|.

Q: Find the open intervals on which the function is increasing or decreasing            f(x) = x2 + 3x…

A: We find f'(x) using the power rule

Q: Find (f- g)(x) when f(x) = 7x - 8 and g(x) = 2x - 2. O A. - 5x +6 О В. 5х-6 ОС. 9х -10 O D. 5x - 10

A: fx=7x-8gx=2x-2To find:f-gx

Q: (4) For the functions f(x) = Vx- 3 and g(x) = Vx+2, find and determine the domain %3D in each case:…

A: As you have asked multiple question, we will answer first question only. lf you want any other…

Q: 2 For f(x) x 5 and g(x)= 7- x, find b. the domain of f og (fo g)(x); а.

A: Consider the given functions.

Q: f(x)= 2x² – 8x- 3 on the given interval [1,3].

A: Given f(x)=2x2-8x-3 on [1,3]

Q: Find a and b so that the function 1 5x3 — 6х? + 3, х -2 f(x) = ах + b, is both continuous and…

A:

Q: 3.) For the functions f (x) = v16 – x and g(x) = 2x – 8 find (x) and give its domain in interval -…

A: It is known that fgx=fxgx.

Q: 6.Given f(x)= 3x – 2 and g(x)= x2 – 5x, find f(-1)+g(2)

A: The given functions are: fx=3x-2 and gx=x2-5x To find f-1 replace x with -1 in fx=3x-2 and similarly…

Q: For what value of x does the function f(x)=1/3 x^3 - 4x attain the point of inflection in the…

A: Inflection points are points where the function changes concavity, i.e. from being concave up to…

Q: The domain of the function f(x)=√12+4x−x^2 is the closed interval [A,B] where A= and B=

A: Domain is the set of all values that can be taken by x so that the equation is defined.

Q: Find real values of x for which f(x) = 0. f(x) = x3 − x

A: Given: fx=x3-x To find the real values of x for which fx=0. Solution: Put fx=0 and then solve for x.…

Q: Let f(x)=3x^2+7x-4 and g(x)=9x^2-5x+1. Which equation shows h(x), where h (x)= f(x)-g(x)?

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Q: Find the function f(x) such that f'(x)=3e-2x-6x2+1 and f(0)=2

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Q: 2. If f (2) = 10 and f' (x) = x²f (x) for all x, find f"(2).

A:

Q: Find the value of the constant (a, b, or c) that makes the function continuous.

A: for the function f(x) to be continuous, the f(x) must be continuous at x=3Then,2x+9x-1 =-4x+c2x+9x…

Q: 3) Find f'(x) for the function f(x) = V5x² + 3. Simplify the result.

A: given :

Q: find f'(x) and f''(x) for f(x) = 2x^2-3x-3/x+1 using the quotient rule and simplify. show all steps

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Q: Let h(x) where f(x) = In(3x² + 2x + 2) and g(x) = -2x. What is h'(x)?

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Q: Find f(0), f(-3), f(2x+3) for the function f(x)= -2x^2+x-1.

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Q: The function f(r) = x - 18x2 is increasing on the intervals

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Q: Find the intervals on which the function f(x) = x² - 6x + 10 is increasing and decreasing.

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Q: Find functions h and g such that (h o g)(x) = (x³3 + 2x – 1). -

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Q: 3. For the function f (x) = 4x2 – 25, a) find f(-1) - %3D %3D b) find all x when f (x) = 0

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Q: the interval in which the root exists for the function f(x) = x² – 16=0 - is Оа. [3,5] O b. [0,2] O…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Find f such that f'(x) = x² +4 and f(0) = 3.

A:

Q: let h(x) = f(x)/g(x), where f(x) = -3x^2 + 2x + 2 and g(x) = -2, what is h'(x)?

A: Given  hx=fxgxwherefx=-3x2+2x+2gx=-2 To find the derivative of h(x) Quotient rule is to be used…

Q: 14. For the function f(x)=ax+bx²-5x+9, determine the values of a and b so that 5(-1)=12 and f'(-1)=3…

A: Explanation of the answer is as follows

Q: Find a function f(x) such that f'(x) = 6x² – 3 and f(0) = 1 - %3D f(x) =|

A: Given:     f'(x) = 6x2 - 3    f(0) = 1

Q: Find the range of f(x)=x-5x+6. O [-1/4, 0)

A: The given function is:fx=x2-5x+6To find the range

Q: find (f-g)x when f(x)=4-7x and g(x)=7x+1 a. (f-g)(x)=14x+5 b. (f-g)(x)=-14x+3 c.(f-g)(x)=-14x+5…

A:

Q: Find the intervals on which the function f(x) = x² – 6x + 10 is increasing and decreasing.

A:

Q: (-2x² – 5x + 14,x 3 x= 3 continuous at x = 3. Justify the conclusion.

A: For given function f(x) ; -2x2 -  5x  + 14  , x < 3   .... (i) 19  , x = 3         ..... (ii)…

Q: For the function f(x) = + 3, find f-1(x). f-'(x) = /3x – 3 %3D f-1(x) = /3 (x – 3) f-1(x) = V3x – 3…

A: Steps to find the inverse of a function f(x) are: 1. Substitute f(x)=y. 2. Interchange x and y. 3.…

Q: Can i get help step by step

A: Derivative is given. We have to integrate the same to obtain the original function and then apply…

Q: Find ao of the function f(x)=(-x)², 0≤x≤ 2π

A:

Q: Let h(x)=f(x)g(x). If f(x)=−3x2+2x−3 and g(x)=−3x2+4x+3, what is h′(1)?

A: Given:h(x)-f(x)g(x)f(x)=-3x2+2x-3g(x)=-3x2+4x+3

Q: Find f such that f'(x)= 7x +7x-2 and f(0)= 8.

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Q: For what value of x does the function g(x) = (x2 - 4)² attain the absolute maximum in the interval…

A: we have to find absolute maximum

Q: Find the open interval(s) on which f(x) = - 5x+ 50x +8 is increasing or decreasing.

A: Given that:

Q: 2 For the functions f(x) = - 4x + 1 and g(x) = 2x-x+ 5, find f(g(3)). f(g(3)) =| %3D

A: given function are  f(x)= -4x+1  g(x)= 2x2-x+15  Find f(g(3)) .

Q: Find the value of the constant ( a, b, or c) that makes the function continuous.

A: Given, f(x)=2x+9x-1x≤3-4x+cx>3

Q: the domain for the real valued function f(x) = is 2x-4 2x+1

A: Given : fx = 2x+12x-4

Q: Find the absolute extrema of the function g(x) = -10x/x^2+9 on the interval (-5,2)

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Q: Find f such that f'(x) = 8x² + 3x – 7 and f(0) = 2. f(x) =O

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Q: Let h(x)=f(x)/g(x) where f(x)=x^2+5x−1, g(2)=−4, and g′(2)=−2 what is h′(2)?

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Q: V. Find the value of k that makes the function continuous. 2x2-3-15 if x + 3 if x = 3 f(x) = %3D x-3…

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Q: Find f'(-2) for f(x) x² +1

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Q: Express f(x) in the form f(x)=(x-k)q(x)+r for the given value of k. f(x)= 5x^3+x^2+x-2, k=-1

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Q: Let h(x)=f(x)g(x) where f(x)=2x^2−4x, g(−2)=4, and g′(−2)=−5 what is h′(−2)?

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Q: Find f(x) such that f'(x)=2x4 - 4x and f(2) = 3

A: