PGCPS BENCHMARK 2 ALGEBRA I / SECTION 2 / 7 OF 10 / Consider the following equations. f(x) = 2² - 1 = 8 What values of a will result in f(x) = g(x)? OA 0 and - OB. 0 and -2 OC -2 and -2 You may use a calc OD. only 0

Q: Given the three function below, which expression equals (r o bo s)(x)? b(x) = 2" r(x) = |æ| s(r) =…

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Q: Given the function J(x) find the following function values. Enter exact answers only (no…

A: Given function is j(x)=xx+8 (A) Replace x by x+2 j(x+2)=x+2(x+2)+8j(x+2)=x+2x+10 (B)…

Q: Let f(x) 1 and g(x) За + 8. с — 2 Find each of the following: 1 a) f(g(6)) 24 b) f(g(x))

A: Given, f(x)= 3x+6 g(x)= 5x²+7x We know that, (g°f)(x)= g(f(x)) Substituting known values, = g(3x+6)…

Q: if h(x)=x2-6, find h-1(x)

A: To find the inverse of the function, use the below steps. Replace h(x) by y, so we get y = x2 - 6

Q: What happens to this base function that went from  a(x)= x2 to  h(x) = -x2+ 4 and why it happened?

A: The objective of the question is to understand the transformation of the base function a(x) = x^2 to…

Q: If f(x) = 5x+ 6-X, what is the ordered pair for x = 0 ? O (0,-1) O (0,10) O (6,0) (0,6)

A: Given that  f(x)=5x+6-x^2  To find the order pair at x=0

Q: Use the functions f (x) = 4x + 1, g(x) = 2x² – 6x h(x) = -x² + 3x – 19 and for questions 18 - 20.…

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Q: Perform this subtraction: (-4x5 + 6x² - 2x) - (4x5 + 8x² - 4) 2

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Q: f(x) = (x-3)(x+1) (x-2)(x+2)(x+1) %3D

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Q: Given the functions f(x) = 4x + 10 and g(x) = √√x + 2, what is the value of a for which f(g(a)) = 10…

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Q: Let g(x)=x2+6x        and f(x)=4x       Find each of the following.      a)  g(−1)      b)…

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Q: ΔEFG,  EG is extended through point G to point H, m∠EFG=(2x+1)∘,  m∠FGH=(6x+2)∘, m∠GEF=(x+19)∘. Find…

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Q: Rewrite each pair of functions. (g) and g(t), as one composite function, f(g(e)). (If not possible,…

A: To find f(g(t))

Q: If f(x) = x³, evaluate the difference quotient . f(2 + h) - f(2) and simplify your answer. h If you…

A: First, we need to define the function f(x). In this case, the function is given as f(x) = x^3.

Q: 3. The company TClothing has figured its average cost (in $) of producing and selling x units of and…

A: The company TClothing has figured its average cost (in $) of producing and selling x units of…

Q: Find the Domain (b) g(x) = In(x² –- x) %3D

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Q: Question4 Find domain 1 f(x) a. %3D 4x-16 b. f(x) = V12- 4x c. f(x) = d. f(x) = Vx + 7 f(x) = -3x2 +…

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Q: 9. Which of the following is f(x) = x³ the parent function for? a) f(x) = 8x³ - 13x + 11 b)…

A: Given: fx=x3 For any polynomial function fx=anxn+an-1xn-1+........+a1x+a0; an≠0 Parent functiongx is…