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
