Question

Given two functions f(x) and g(x):f(x) = 8x - 5,8(x) = 2x2 + 8Step 1 of 2 Form the composition f(g(x)).Answer 2 PointsKeypadKeyboard Shortcutsf(g(x)) =>Next

Answer 1

we have the functions

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

Find out f(g(x))

Substitute the variable x in the function f(x) by the function g(x)

so

`\begin{gathered} f\mleft(g\mleft(x\mright)\mright)=8(2x^2+8)-5 \\ f(g(x))=16x^2+64-5 \\ f(g(x))=16x^2+59 \end{gathered}`