Help please? Consider these functions: f(x) = 5x2 + 2 g(x) = x2 – 1 What is the value of g(f(-1))? A. 2 B. 8 C. 22 D. 48

D. 48

Step-by-step explanation:

f(x) = 5x^2 + 2 and g(x) = x^2 - 1; find g(f(-1))

First, we have to find f(-1). You will take the f(x) equation and substituute-1 for x

f(x) = 5x^2 + 2

f(-1) = 5(-1)^2 + 2

f(-1) = 5(1) + 2

f(-1) = 5 + 2

f(-1) = 7

Now we know f(-1) is equal to 7, which means g(f(-1)) is the same thing as g(7). We will be using the g(x) equation now and substitute 7 for x.

g(x) = x^2 - 1

g(7) = 7^2 - 1

g(7) = 49 - 1

g(7) = 48

The correct is 48 (D).

the answer is c

step-by-step explanation:

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