Question

Let f and g be the two function from Rto R defined by f(x) = 3x_4 and g(x)=x2+2 find gof and fog

Answer 1

Answer:

The answer is gof $=9x^2-24x+18$ and fog $=3x^2+2$

Step-by-step explanation:

Given $f(x)=3x-4$ and $g(x)=x^2+2$

Thus

          $gof=g(f(x))\\=(f(x))^2+2\\=(3x-4)^2+2\\=9x^2-24x+16+2\\=9x^2-24x+18$

and

           $fog=f(g(x))\\ =3g(x)-4\\=3(x^2+2)-4\\=3x^2+6-4\\=3x^2+2$