Question

Assume that f (x) =5x - 2 and g(x) = 2x - 5 what is (f o g )( 7 )

Answer 1

(f o g )( 7 )​=43

Step-by-step explanation:

Given the functions

`\begin{gathered} f(x)=5x-2 \\ g\mleft(x\mright)=2x-5 \end{gathered}`

The composite function (fog)(x) is derived below:

`\begin{gathered} (f\circ g)(x)=f(g(x)) \\ =5(g(x))-2 \\ =5(2x-5)-2 \\ =10x-25-2 \\ (f\circ g)(x)=10x-27 \end{gathered}`

Next, we evaluate (f o g )( 7 ).

`\begin{gathered} (f\circ g)(7)=10x-27 \\ =10(7)-27 \\ =70-27 \\ =43 \end{gathered}`