Question

If f(x)=3x, g(x)=x+4, and h(x)=x²-1, find the value of g[h(-3)

Answer 1

To find the value of g[h(-3)], plug -3 into h(x) and then the result into g(x). The value of g[h(-3)] is 12.

Step-by-step explanation:

To find the value of g[h(-3)], we need to plug in -3 into h(x) and then plug the result into g(x).

First, let's find h(-3):

1. h(x) = x² - 1
2. h(-3) = (-3)² - 1 = 9 - 1 = 8

Now, let's plug the result into g(x):

1. g(x) = x + 4
2. g[h(-3)] = g(8) = 8 + 4 = 12

Therefore, the value of g[h(-3)] is 12.