Question

Let g(x) = cos(x/2) - 3x. Let f(x) = 2x + 5. What is g(f(x))?

Answer 1

Answer:

g(f(x)) =  $cos(\frac{2x+5}{2} ) - 6x -15$

Step-by-step explanation:

Explanation:-

Let g(x) = $cos(\frac{x}{2} ) - 3x$   and f(x) = 2x +5

g(f(x)) = g( 2x +5)

        =  $cos(\frac{2x+5}{2} ) - 3(2x+5)$

       =  $cos(\frac{2x+5}{2} ) - 6x -15$

g(f(x)) =  $cos(\frac{2x+5}{2} ) - 6x -15$