Question

Let f (x ) = 3x² - 4 and let g (x) = 2x + 1. Find the value of f[g(2)].

Answer 1

Answer:

g(2)= 2(2) + 1 = 4 + 1 = 5

f(5)= 3(5)^2 - 4 = 3(25) - 4= 75 - 4= 71

Step-by-step explanation:

Answer 2

Answer:

The value of f[g(2)] is 71.

Step-by-step explanation:

We need to find f[g(2)].

The first step is finding f[g(x)]

We have that:

$f(x) = 3x^{2} - 4$

$g(x) = 2x + 1$

To find f[g(x)], the first step is replacing each x is f by g(x). So

$f(g(x)) = 3(2x+1)^{2} - 4$

Now we replace x by 2

$f(g(2)) = 3(2*2+1)^{2} - 4 = 75 - 4 = 71$

The value of f[g(2)] is 71.