Question

Let f(x)=2x^2+x+5 and let g(x)=x-4. find f(g(x))

Answer 1

Then that'd be:

\(\Large \color{Black}{\Rightarrow f(x - 4) }\)

Think that you are multiplying two to a number, squaring it, adding the number then adding 5. You'll do the same here.

\(\Large \color{Black}{\Rightarrow 2(x - 4)^2 + (x - 4) + 5 }\)

Answer 2

\(\Large \color{Black}{\Rightarrow 2(x^2 - 8x + 16) + x + 1 }\)

\(\Large \color{Black}{\Rightarrow 2x^2 - 16x + 32 + x + 1 }\)

\(\Large \color{Black}{\Rightarrow 2x^2 - 15x + 33 }\)

Answer 3

And that, is the answer.

Answer 4

Thank you so much!