Question

If f(x) = 4^x - 8 and g(x) = 5x + 6, find (f - g)(x)

Answer 1

`4^x-5x-14`

Explanation:

`f-g=(4^x-8)-(5x+6)=4^x-8-5x-6=4^x-5x-14`

Answer 2

The value of
`(f-g)(x)=4^x-5x-14`

Explanation:

Given : If
`f(x) = 4^x-8` and
`g(x)=5x+6`

To find : The value of
`(f - g)(x)`?

Solution :

`f(x) = 4^x-8`

`g(x)=5x+6`

We can write,
`(f-g)(x)=f(x)-g(x)`

Substitute the value of f(x) and g(x)

`(f-g)(x)=4^x-8-(5x+6)`

`(f-g)(x)=4^x-8-5x-6`

`(f-g)(x)=4^x-5x-14`

Therefore, The value of
`(f-g)(x)=4^x-5x-14`