Consider the functions f(x) = 3x − 2 and g(x) = x2 − 1. what is the value of f[g(5)]?

312

70

168

−1

The correct option is 2. The value of f[g(5)] is 70.

Step-by-step explanation:

The given functions are

We need to find the value of f[g(5)].

First of all find the value of g(5). Substitute x=5 in the function g(x).

The value of g(5) is 24.

              ..... (1)

Substitute x=24 in the function f(x).

          .....(2)

Using (1) and (2) we get

The  value of f[g(5)] is 70. Therefore the correct option is 2.

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: