Question

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

Answer 1

heya......

g(x)=cos(x/2)

f(x)=2x+5

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

=cos(2x+5/2)

= cos(x+5/2)

Answer 2

Answer:

The value of g(f(x)) is

$=\cos(x+\frac{5}{2})$  

Step-by-step explanation:

Given the functions g(x) and f(x).

$g(x)=\cos{\frac{x}{2}}$

$f(x)=2x+5$

we have to find the value of g(f(x))

[tex]g(f(x))=g(2x+5) [/tex]

      [tex]=\cos(\frac{2x+5}{2}) [/tex]

      $=\cos(x+\frac{5}{2})$  

The value of g(f(x)) is

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