Question

If f(x) = 3x2 + 1 and g(x) = 1 – x, what is the value of (f – g)(2)?

Answer 1

`(f-g)(2)=14`

Explanation:

We are given the two functions:

`f(x)=3x^2+1\text{ and } g(x)=1-x`

And we want to find the value of:

`(f-g)(2)`

This is equivalent to:

`(f-g)(2)=f(2)-g(2)`

Substitute:

`=(3(2)^2+1)-(1-(2))`

Evaluate:

`=(3(4)+1)-(1-2)=(12+1)-(-1)=13+1=14`

Therefore:

`(f-g)(2)=14`