Question

Assume f(x)=2x^2-1 and g(x)= -3x+2Find g(f(1))

Answer 1

The functions are given to be:

$\begin{gathered} f(x)=2x^2-1 \\ g(x)=-3x+2 \end{gathered}$

To evaluate g(f(1)), we will first find f(1):

$\begin{gathered} f(1)=2(1)^2-1 \\ f(1)=2-1 \\ f(1)=1 \end{gathered}$

Next, we evaluate g(1):

$\begin{gathered} g(1)=-3(1)+2 \\ g(1)=-3+2 \\ g(1)=-1 \end{gathered}$

Therefore, the answer is:

$g(f(1))=-1$