If f (x) = –x² – 1, and g(x) = x + 5, then %D f(g(x)) = [ ? ]x²+[ ]x+ [ ]

Q: g(x) = x³ + x? - 8x- 12 f(x) = x² + 4x +3 %3D h(x) = x² + 3 %3D s(x) = x² - 3x

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Q: 21 If f(x) = x - 4x + 2, simplify each of f(x + h) = f(x + h)- f(x) = %3D

A: For f(x+h) put x+h at x

Q: Which function is increasing as x approaches negative infinity and decreasing as a approaches…

A: We have to find  which function is increasing as x approaches negative infinity and decreasing as x…

Q: Which of the following statements is an exponential function? A y=14x+2 (B) y=(6x)² Ⓒ y=(2x+5)3…

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Q: Consider the following. x2 g(x) 2-4 -x- 12 (a) State the domain of the function. O all real numbers…

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Q: Solve the problem. Given the cost function, C(x), and the revenue function, R(x), write the profit…

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Q: Determine h(x2) for the following function. 4x h(x) = %3D x2 + 9x + 20

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Q: (4x +7)(5– 2x) f(x)= %3D (x-1)²

A: Given data:     The expression for the function is: f(x)=(4x+7)(5-2x)/(x-1)2.   The expression for…

Q: If E[X] = −3 and Var(X) = 5, then E[(5 + 6X)²] = and Var(3 + 5X) =

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Q: If P(x)=x2+x+3 and Q(x)=5x2−1​, find Q (1/4)

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Q: erify the result C(X"X) = C(X") for %3D x-(; ) X = -1 0 %3D

A: We have to solve given problems:

Q: If f(x) = x3 + 1, then give the following

A: Consider the function: fx=x3+1

Q: If f(x) = 2x + 3x – 1, evaluate the following. %3D (a) f(a) (b) f(-a) (c) f(a + h) f(a + h) – f(a)…

A: Given, fx=2x2+3x-1 a) fa is found as follows: Substitute a for x in the given function.…

Q: Which of the following functions might have the graphshown? (More than one answer is possible.)

A: Graph of the line is given , we have to identify the equation

Q: If f is one-to-one and f(6)=9, then f−1(9)=  and (f(6))−1 =

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Q: If K(x) =|x- 3|+x, find K(-1).

A: Using the property of mod function,

Q: 8x2

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Q: If f(x) = x² + 5 and g(x) = x – 4, evaluate the following %3D f(6) a. b. g(6)

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Q: 1 and g(x) x – 7 Let f(x) +7. Find and simplify the following: (a) (ƒ o g)(x) (b) the domain of (ƒ o…

A: As per our guidelines we are supposed to answer one question , kindly repost the remaining question…

Q: For each year, t, the population of a forest of trees, call it Forest A, is represented by the…

A: A(t)=85(1.026)t B(t)=113(1.021)t C(t)=123+(2.3)t

Q: Find grad f.

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Q: Let f(x) = 5x +1 and g(x) = X-1 Simplify the expressions f g g(f(4)), and g(f(x)). ...... g(f(4)) =…

A: The objective of the question is simplify the composition function at given point.

Q: Find 3[g(4)] if g(x) = -2x + 10 %3D

A: Given: gx=-2x+10 To find: 3g4

Q: If f(x) = x + 6 and g(x) = x² - 5, find the following. b. g(f(0)) d. g(f(x)) a. f(g(0)) c. f(g(x))

A: We are authorized to answer three subparts at a time since you have not mentioned which part you are…

Q: Composition and Inverses of Functions Suppose f(x) following. = 2x, g(x) = 3x - 2, and h(x) = x² –…

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Q: x-4 f(x) = In %3D x² – 5x + 6)

A: Given:  f(x)= ln x-4x2-5x+6⇒ f(x) =…

Q: Let f(x) = 6x – 10. Find each of the following: %3D f(a) = %3D 2f(a) = %3D f(2a) = f(a + 2) = %3D…

A: We have to find function value

Q: Find the f(x) = 4x + 1, g(x) = 6x - 2 (a) (f + g)(x) = (b) (f- g)(x) = (c) (fg)(x) = (d) (f/g)(x)…

A: Given f(x)=4x+1   and g(x)=6x-2

Q: 2) a. Find the inverse of the function f(x) = -8x + 17 %3D

A: From the given information, Consider, f(x) =Y Whereas,  f(x) = -8x +17 Thus, the inverse of can be…

Q: If f(x) = x2 – 9x and g(x) = x + 8, evaluate each of the following. (a) (f o g)(3)= (b) (g o f)(3)=

A: topic - composite functions