Question

For items 14 and 15 use the following functions

f(x)=5x+1
g(x)=3x-4

14. Evaluate f(2), g(2), (f o g) (2), and (g o f)(2).

15. Write the composite functions h(x)=g(f (x)) and k(x)=f(g(x)).

Answer 1

To find f(2), plug in 2 for x. f(2) = 11 To find g(2), plug in 2 for x. g(2) = 2 To find (f o g) (2), plug in 2 for the composite function = 11. To find (g o f) (2) plug in 2 for the composite function = 29. g(f(x)) is when you plug in f(x) into g: 3(5x+1) - 4 = 15x - 1. f(g(x)) is when you plug in g(x) into f: 5(3x-4) + 1 = 15x -19.