Question

Please help! functions operations. explain please

Answer 1

Hello!

The answer is: Third option, -41.

Why?

Since we are working with composite functions if we want to find the correct option, we need to follow the composite function process and then, evaluate the given value.

Composite functions mean evaluating a function into another function, so:

`(g\circ f)(x)=g(f(x))`

We are given the functions:

`f(x)=4x+3`

and

`g(x)=-2x+5`

Therefore,

`(g\circ f)(x)=-2(4x+3)+5`

`(g\circ f)(x)=-8x-6+5`

`(g\circ f)(x)=-8x-1`

Evaluating with "x" equal to 5, we have:

`(g\circ f)(5)=-8(5)-1=-41`

So, the answer is the third option, -41.

Have a nice day!