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Select the correct answer.
Consider these functions:
px) = 5x + 2
g(x) = x2 - 1
What is the value of g(4-1))?
A.
2
B.
00
C.
22
D.
48

Select The Correct Answer Consider These Functions Px 5x 2 Gx X2 1 What Is The Value Of G41 A 2 B 00 C 22 D 48 class=

Sagot :

Answer:

g(f(-1)) = 48

Step-by-step explanation:

given the following

f(x) = 5x² + 2

g(x) = x²-1

g(f(x)) = g(5x²+2)

Replace x with 5x² + 2 in g(x) as shown;

g(5x²+2) = (5x²+2))²- 1

g(f(x)) = (5x²+2))²- 1

g(f(-1)) = (5(-1)²+2))²- 1

g(f(-1)) = (5+2))²- 1

g(f(-1)) = (7)²- 1

g(f(-1)) = 49 - 1

g(f(-1)) = 48