Question

given the definitions of f(x) and g(x) below find the value of (f o g)( 7 )f(x)=3x squared +7x-13 g(x)=2x - 11

Answer 1

$fog(x)=12x^2-118x+73$

Explanation

$\begin{gathered} f(x)=3x^2+7x-13 \\ g(x)=2x-11 \end{gathered}$

Step 1

replace the function g(x) in the place the x in f(x)

$\begin{gathered} f(x)=3x^2+7x-13 \\ \\ fog(x)=3(2x-11)^2+7(2x-11)-13 \\ fog(x)=3(4x^2-44x+121)+14x-77-13 \\ fog(x)=12x^2-132x+163+14x-77-13 \\ fog(x)=12x^2-118x+73 \end{gathered}$

I hope this helps you