Question

What is the result of the expression h[j(2)], if h(x) = 3x - 1 and j(x) = -2x ?

A) 0
B) -13
C) 0-11
D) 11

Answer 1

After evaluating the inner function j(x) at x=2, and then using that as the input for the outer function h(x), the result of h[j(2)] is determined to be -13.

Step-by-step explanation:

To find the result of the expression h[j(2)], we must first evaluate the inner function j(x) at x=2, and then use that result as the input to the outer function h(x).

First, evaluate j(2):
j(x) = -2x
j(2) = -2(2) = -4

Now, with that result, evaluate h(-4):
h(x) = 3x - 1
h(-4) = 3(-4) - 1 = -12 - 1 = -13

Therefore, the result of the expression h[j(2)] is -13.