what is the answer of this equation

Question

If f(x) = 3x-1
g(x) = 4x+2
Find f(g(3))

Answer 1

find f(g(3)) ....

 

First find g(3) ... substitue x = 3, then evaluate

      g(x )= 4x + 2

      g(3) = 4(3) + 2

      g(3) = 12 + 2

      g(3) = 14

 

Now substitute g(3) = 14 for g(3) in f(g(3))

 

      f(x) = 3x - 1

      f(g(3))  means f(14)

      f(14) = 3(14) - 1

              = 42 - 1

              = 41

 

so f(g(3)) = 41