Question

Does anyone know how to do these maths question???

Answer 1

Part 1)
`f(g(x))=3(x^2)+2`

Part 2)
`g(f(5))=289`

Explanation:

we know that

A composite function is a function that depends on another function. A composite function is created when one function is substituted into another function

we have

`f(x)=3x+2`

`g(x)=x^(2)`

Part 1) Determine f(g(x))

To find f(g(x)) substitute the function g(x) as the variable in function f(x)

so

`f(g(x))=3(x^2)+2`

Part 2) Determine g(f(x))

To find g(f(x)) substitute the function f(x) as the variable in function g(x)

so

`g(f(x))=(3x+2)^2`

For x=5

`g(f(5))=(3(5)+2)^2`

`g(f(5))=289`