Question

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

Answer 1

g(f(x)) =
`cos((2x+5)/(2) ) - 6x -15`

Explanation:

Explanation:-

Let g(x) =
`cos((x)/(2) ) - 3x` and f(x) = 2x +5

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

=
`cos((2x+5)/(2) ) - 3(2x+5)`

=
`cos((2x+5)/(2) ) - 6x -15`

g(f(x)) =
`cos((2x+5)/(2) ) - 6x -15`