Question

f(x)=3x-1 and g(x)=2x+3 and find f(g(3))

Answer 1

Answer:

Explanation:

First we evalaute g(x) at x = 3

$g(3)=2(3)+3$$\begin{gathered} =6+3 \\ =9 \end{gathered}$

$g(3)=9$

Now we evaluate F(g(3)) by putting in g(3) = 9.

$f(g(x))=3g(x)-1$$f(g(3))=3g(3)-1$$=3\cdot9-1$$\begin{gathered} =27-1 \\ =26 \end{gathered}$

Hence,

$f(g(x))=26$

which is our answer!