Answer :

The value of the functions are;

(.f. g)(x) =  9x² + 5  

(g . f)(x) = 3x² + 15

What is a function?

A function can be defined as a law, rule or expression showing the elaborate relationship between two variables in an expression or equation.

The variables are;

  • The dependent variable
  • The independent variable

Given the functions;

  • f(x)=x²+5
  • g(x)=3x

To determine  (. f. g)(x), we substitute the value of g(x) as x  in the function .f.(x), we have;

(g)(x) = (3x)² + 5

expand the bracket

( g)(x)  = 9x² + 5

To determine (g . )(x), substitute the value of x as ,f.(x)

(g . (x) = 3(x² + 5)

expand the bracket

(g .)(x). = 3x² + 15

Hence, the functions are  9x² + 5 and  3x² + 15

Learn more about functions here:

https://brainly.com/question/25638609

#SPJ4

Other Questions