Question

Let f ( x ) = 3 x + 5 and g ( x ) = 3 x 2 + 3 x . After simplifying, ( f ∘ g ) ( x ) =

Answer 1

Answer

Explanation

Given:

$f(x)=3x+5$$g(x)=3x^2+3x$

To determine (f º g)(x), we plug in the value of g(x) into f(x) as shown below:

$\begin{gathered} (f\circ g)(x)=f(g(x)) \\ =f(3x^2+3x) \\ =3(3x^2+3x)+5 \\ Simplify \\ (f\circ g)(x)=9x^2+9x+5 \end{gathered}$

Therefore, the answer is:

$(f\circ g)(x)=9x^{2}+9x+5$