If f(x) = 36 - {x}^(2) and g(x) = 8 - x what is the value of (f - g)(x) ​

Question

If


`f(x) = 36 - {x}^(2)`
and

`g(x) = 8 - x`
what is the value of

`(f - g)(x)`
​

Answer 1

`- {x}^(2) + x + 24`

Explanation:

Subtract the functions:

`f - g = (36 - {x}^(2) ) - (8 - x)`

Simplify:

`(36 - {x}^(2) ) - (8 - x) \\ 36 - {x}^(2) - 8 + x \\ - {x}^(2) + x + 24`