Question

the functions of f and g are defined as f(x)=2x + 3 and g(x)=x² - 1. what is f(g(-1))?
a -1
b 0
c 1
d 3
e 5

Explanation:

Step1: Find g(-1)

Substitute x = - 1 into g(x): $g(-1)=(-1)^2 - 1=1 - 1=0$

Step2: Find f(g(-1))

Since g(-1)=0, substitute x = 0 into f(x). Then $f(g(-1))=f(0)=2\times0 + 3=3$

Answer:

D. 3