Suppose that the functions q and r are defined as follows. q(x)=-2x+1 r(x)=-x2 Find the following: (q∘r)(2)=_____? (r∘q)(2)=_____

Q: Use the function f(x) = -3a? + 7æ + 7 to compute and expand and simplify the following. a. f(-2) =…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Let f(x) = x + 3 and g(x) = x² – 3x + 9. Find each of the following. a. (fg)(x) b. (fg)(-2) c.…

A: Given function are fx=x+3 and gx=x2-3x+9. To find: (a). fgx   (b).   fg-2     (c). fg0 Solution: We…

Q: Let f(x) = x² – 2r and g(x) = x + 3. Find each of the following: a. (f + g)(5) b. (f - g)(x) and (f…

A: The given functions are, fx=x2-2xgx=x+3 a. Fiding the function f+g5…

Q: Let f(x) = x³-212-9. If f(3) = 0, then (x-3) is a factor of f(x). O True O False

A: factor theorem states that if f(x) be a polynomial of degree n , and (x-a) is a factor of f(x) then…

Q: Let f(x) = 3x – 8 and g(x) = x + 2. Find the value of each of the following a. (f + g)(-5) f(2) b.…

A: Put the values in functions and determine the final values

Q: Let ?(?)=?2+3?f(x)=x2+3x. Find and simplify ?(2/3) Select one: A.22/9 B.8/3 C.10/31 D.10/9 E.2

A:

Q: Find n(B) if B = {x : x is a letter in the word “bookkeeper”}.

A: Find n(B) if B = {x : x is a letter in the word “bookkeeper”}.

Q: Let f(x) = 3x² + 4x – 1 and g(x) = 2x + 7. Find each of the following: a. (f + g)(x) b. (f + g)(4).

A:

Q: Let f(æ) = 4x + 4 and g(x) = 5æ? + 2æ. After simplifying, (f + g)(x) =

A:

Q: If f(x) = x2 – 6x and g(x) = 6 – x³, evaluate the following. %3D a. (f+ g)(- 2) b. (g - )(- 4) c. (f…

A: The given functions are f(x)=x2-6x  &  g(x)=6-x3

Q: Find and simplify f(a + h) – f(a) (h + 0) h for the following function. f(x) = 8x2 - 4x + 7 sh? -…

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Q: Let f(x) = 3x2 - 1, and g(x) = -2x + 7. Find (f + g) (-3). O 14 O 39 O 41 O 27

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Q: If g(x)=2x+1 and f∘g =6x-7, determine an expression for f(x)

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Q: (x–1)³ 3 x2

A: ∫(x-1)3x2 dx

Q: Use the given functions to find, simplify, and identify the domain of the following combinations. 1z…

A: The given functions are: f(x)=x+3x+8        and         g(x)=-9x-7x-2

Q: Let f(x) = x² + 7. Find and simplify: f(x + 6) - f(x) O 12x + 50 O 12x + 36 O 12x O 50 0 36 O 6x +…

A: We can simplify and find the correct answer in the below steps.

Q: Let f(x) = x² + x and g(x) = x – 5. Find each of the following: a. (f + g)(4) b. (f – g)(x) and (f –…

A: given f(x)=x2+x and g(x)=x-5 we need to find the

Q: %3! Let A(r) = | f(t)dt for the function f(t) graphed below. Evaluate A(x) for a = 2 and 5. 2 5.…

A: Find area under the curve A(x) from 0 to 2 and 0 to 5

Q: If f(x) = 2x² - 8 and g(x) = 2x + 1, evaluate f(g(x)) when x = -3 -30 O-19 42 O46 60

A: Given: f(x)=2x2-8 and g(x)=2x+1

Q: Which function had zeros of -4 and 2? O f(1) = a² + 7x – 8 O g (z) = a – 7x – 8

A: