Question

If f(x) = 4x – 1 and g(x) = x2 + 2x + 2, what is f(g(x))? can some explain. I keep getting the wrong answer...

x2 + 8x – 2

x2 + 6x + 1

4x2 + 6x – 1

4x2 + 8x + 7

Answer 1

Pre-note: \(f(g(x)) \ne f(x) \times g(x)\)

Answer 2

\( \color{Black}{\Rightarrow f(g(x)) = f(x^2 + 2x + 2) = 4(x^2 + 2x + 2) - 1}\)

Answer 3

Does that make it easier for you to complete the rest?

Answer 4

f(x)=4x-1
here x is variable
like f(t)=4t-1
Therefore f(g(x))=4(x^2+2x+2)-1
=4x^2+8x+7. ur ans seems to be right

Answer 5

okay ty I wasn't sure.

Answer 6

You're welcome!