Answer:
g(f(x)) = [tex]cos(\frac{2x+5}{2} ) - 6x -15[/tex]
Step-by-step explanation:
Explanation:-
Let g(x) = [tex]cos(\frac{x}{2} ) - 3x[/tex] and f(x) = 2x +5
g(f(x)) = g( 2x +5)
= [tex]cos(\frac{2x+5}{2} ) - 3(2x+5)[/tex]
= [tex]cos(\frac{2x+5}{2} ) - 6x -15[/tex]
g(f(x)) = [tex]cos(\frac{2x+5}{2} ) - 6x -15[/tex]