Danios
contestada

For the given functions f and g, find the indicated composition:
f(x) = x - 10/4, g(x) = 4x + 10
(g*f)(x)


HINT: the answer is x but I dont know how to show the work for it.

Respuesta :

Answer:  x

Step-by-step explanation:

  g(x) = 4x + 10     f(x) =[tex]\frac{x - 10}{4}[/tex]  

to find g(f(x)), replace "x" in the g(x) equation with what f(x) equals.  Another way of writing g(f(x)) for this problem is: g([tex]\frac{x - 10}{4}[/tex]).  

g(f(x)) = 4[tex](\frac{x - 10}{4})[/tex] + 10

          = x - 10 + 10

          = x