Question

if f(x)=x^2-6 and g(x)=2^x-1 determine the value of (gof)(-3)

Answer 1

You could find gof and plug in-3 or you could find f(-3) and plug that answer into g. Which do you want to do?

Answer 2

how would you find the gof?

Answer 3

would you plug the formula for g into f? or vice versa?

Answer 4

g(f(-3)) = g((-3)^2 - 6) = g(9-6) = g(3) = 2*3 - 1 = 6 - 1 = 5

Answer 5

f(-3)=(-3)^2-6=3

so g(3)=2(3)-1=5

Answer 6

(gof)(-3) = 5

Answer 7

thank you so much!