Question

If f(x) = 3x +4, g(x) = 9x + 12, and h(x) = 9x^2 + 24x + 16, then (g-f)(1)=

Answer 1

First, let's calculate the composite function (g-f)(x):

`\begin{gathered} (g-f)(x)=g(x)-f(x)\\ \\ =9x+12-(3x+4)\\ \\ =9x+12-3x-4\\ \\ =6x+8 \end{gathered}`

Now, let's use x = 1 and calculate the value of the expression:

`(g-f)(1)=6\cdot1+8=6+8=14`

Therefore the value of (g-f)(1) is equal to 14.