Express the function in the form fog. (Use non-identity functions for fand g.) F(x) = (7x + x2)4 {fx), g(x)} = { {x*, 7x +x? } }

Q: 1. Let glø) = x² - 5x +2.

A: Given that: g(x)=x2-5x+2

Q: -4x By use of the product rule, differentiate the function f (x) = x³e¬4×.

A: Rule:

Q: Find the zeros of the function f(x) = (x + 3)/(2x2 − 6)algebraically.

A: To Determine: Find the zeros of the function algebraically. Given: we have a rational function…

Q: 1. Let glx) = x² - 5x + 2.

A: given function g(x)=x2-5x+2

Q: Find the absolute extreme values of the function on the interval. g(x) = -x 2+ 11x - 30, 5sxs6 %3D

A: Consider the function  g(x)=−x2+11x−30        ,5≤x≤6

Q: Find the domain of the function. G(x) = x + 4 / x3 - 4x

A: we have to find the domain of the following,  G(x)=x+4x3-4x

Q: 2 nd the domain of the function f(x) : (x² – x – 12)(x2 + 1)

A:

Q: ch that the function X-4 x 5. f (x) =

A:

Q: Find the zeros of the function algebraically.f(x) = 3x2 − 16x + 21

A: To find the zeros of a quadratic algebraically means find the zeros by factoring the quadratic…

Q: Find the domain of the function. 4 + X g(x) = 1 - X

A: The given function is The domain of the function is set of input values for which the function is…

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

A:

Q: Letf(x) = 2x - 5g(x) = 4x - 1h(x) = x2 + x + 2.Evaluate the function (g ∘ f)(0) without finding an…

A: Given: f(x)=2x-5g(x)=4x-1h(x)=x2+x+2 We have to find the value of (g∘f)(0).

Q: Find the zeros of the function f(x) = x3 − 4x2 − 9x + 36 algebraically.

A: f(x)=x3-4x2-9x+36

Q: Find (a) the domain of  f and (b) f-1 and its domain.   f(x)  = √ (3 -e2x)

A:

Q: (4x+7 (ii) If f(x) = { 14x²-1 Isxs2 2<154 determine whether the function f(x) is continuous…

A: In this question we have to check whether the given function is continuous throughout its domain or…

Q: Find the zeroes of the functions algebraically. f(x)= 5x – 9

A:

Q: Find the domain of the function.

A: The given equation is qx=2+x3-x.

Q: Given that f(x)=x^2+3x-70 and g(x)=x-7, find (f-g)(x) and express the result in standard form

A:

Q: 7. Find the natural domain of the function f(x) = V4– 3x .

A:

Q: Simplify the function algebraically and fi x² X +6x - 7 lim x→1x - 2x + 1

A:

Q: Find the zeros of the function algebraically.

A: The question is taken from the Function topic and the question asking about the zeros of the…

Q: -2x+6 Consider the function f (x) = x3+2x2-15x

A: Here we use basic definition of function.

Q: 21. Find the "natural" domain of the function f(x)= 4x-10x+4

A:

Q: Find the zeros of the function algebraically. x2 - 9x + 20 f(x) %3D 6x

A: Given : Function  f(x) = x2 -9x+206x   To find : Zeros of given function f(x) algebraically?

Q: 22. Find the "natural" domain of the function f(x)=16r +Vx. x'-16x

A:

Q: Find the domain of f. f(x) = x2 – 13

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Q: What is the upper bound of the function? f(x) = 4x4 - 25x² - 5x - 13 Enter your answer in the box.…

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Q: Find the asymptotes of the functionf(x)=3√x3−x2.

A:

Q: Determine the number of possible positive and negative zeros for the given function in accordance…

A: To determine the number of possible positive and negative zeros of the function.

Q: Find f(x) such that f'(x) = 2x4-7x and f(2)=3

A:

Q: 2x + 5 Find all the asymtptotes of f(x) : x – 1

A: We need to find asymptotes.

Q: Find the domain of the function. 5 f(x) = x² - 19x The domain is

A: We have to find the domain of given function.

Q: Find all the inflection points of the function. f(x) x3+2x2 + 3 3 %3D

A:

Q: g(x) = In(4x - 3)

A:

Q: What is the end-behavior asymptote for the function f (x) 2x ? x2-9 O y = –3 x = 2 O y = 0 O y = 3

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: . Given f(x)=-x²+4x+12, 05x58: (a) Carefully, graph f(x), 0sxs8.

A:

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

A:

Q: Find the domain of f(x) = Vx-4 %3D

A: Given the function  f(x) = x-4

Q: Find f such that f′(x)=7x2+9x−2 and f(0)=7.

A: We integrate the given function and use the given condition f(0)= 7 .

Q: 1. When the function f(x) is divided by x + 2, the quotient is x2 -x -8 and the remainder is -3.…

A:

Q: Suppose f(x) has a zero at an x-value of 3. What would a zero of g(x) be if g(x) = -2f(3x + 1)? %3D

A: Given that f(x) has a zero at x = 3, it means f(3) = 0To find the zero of g(x), where g(x) = -2f(3x…

Q: Find the domain of the function. f(x)= 2+ x2 The domain is

A: to find the undefined points take denominator =0 ..............undefined point

Q: 6. Given f(x) = -3x*-12x3-7x +3, find f(-2) by plugging into f(x) %3D

A:

Q: Find the domain of the function. g(x) = 5x+5 What is the domain of g?

A: The given function is gx=5x+5To find its domain

Q: Find the domain of the function : h(x) = √(8 - 2x)

A: Domain is the range of values of x for which the function is defined.Given function - h(x) = 8-2xFor…

Q: 3x2 + 4x – 15 Let f(x) : 2x2 + x – 3

A: NOTE- AS WE ARE ALLOWED TO ANSWER MAXIMUM THREE SUBPARTS IN ONE SESSION. SO, I HAVE ANSWERED FIRST…

Q: Find the zeros of the function algebraically. x2 – 10x + 16 f (x)= 7x

A:

Q: Consider the function. x2 – 25 f(x) x3 + 2x2 – 25x – 50 For what real values does y = f(x) have a…

A: Here we need to find the vertical asymptote of given function.  The solution is following.

Q: The zeros of the function f(x)=x'-9x are 1) 9, only 2) 0 and 9 3) 0 and 3, only 4) -3, 0, and 3

A: