Question

Assume f(x)=2x^2-1 and g(x)=-3x+2 How do I find f(g(3))

Answer 1

Recall that:

`f(g(x))`

is evaluating the function f(x) at the values given by g(x).

In this case, first, we evaluate g(x) at x=3:

`g(3)=-3(3)+2=-9+2=-7.`

Now, we evaluate f(x) at x=-7:

`f(-7)=2(-7)^2-1=2(49)-1=97.`

Answer:

`97.`