Answer:
D. 48
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).