Question

Find f(g(x)), where f(x)=2x^(2)-7x+8 and g(x) is 5x.

Answer 1

We have the next given equations:

`\begin{gathered} f(x)=2x^2-7x+8 \\ g(x)=5x \end{gathered}`

We need to find f(g(x)), which means the function f(x) in terms of g(x).

Then:

`f\mleft(g\mleft(x\mright)\mright)=2(g(x))^2-7(g(x))+8`

Replacing:

`\begin{gathered} f\mleft(g\mleft(x\mright)\mright)=2(5x)^2-7(5x)+8 \\ f(g(x))=2(25x^2)-35x+8 \\ f(g(x))=50x^2-35x+8 \end{gathered}`

Hence, the answer is f(g(x))=50x²-35x+8