Question

PLEASE HELP ME OUT? it's an assignment due in an hour!

Answer 1

`\text{Given that,} ~ f(x) = x -2~ \text{and}~ g(x) = 3x-2\\\\f(g(5))\\\\=f(3\cdot 5 -2)\\\\=f(15-2)\\\\=f(13)\\\\=13-2\\\\=11`

Answer 2

f(g(5)) = 11

Explanation:

• f(x) = x - 2
• g(x) = 3x - 2

The composite function f(g(5)) is found by plugging g(5) for x into f(x).

Let's find g(5) first.

• g(5) = 3(5) - 2
• g(5) = 15 - 2
• g(5) = 13

Next, plug this value for x into f(x).

• f(13) = (13) - 2
• f(13) = 11

∴ f(g(5)) = 11.