Question

If f(x) 3 x-1+ 4 and g(x) 4x-7 what is (f-g)(x)?

Answer 1

hello :
If f(x)= 3 ^x-1+ 4 and g(x) = 4x-7
(f-g)(x) = f(x) - g(x)= 3 ^x-1+ 4 - (4x - 7)
(f-g)(x) =3 ^x-1-4x +11.....( answer : a)

Answer 2

`(f-g)(x)=3^(x-1)-4x+11`

A is correct

Explanation:

Given:
`f(x)=3^(x-1)+4`

`g(x)=4x-7`

We are given two function and to find difference of two function

`(f-g)(x)`

`\Rightarrow f(x)-g(x)`

`\Rightarrow (3^(x-1)+4)-(4x-7)`

`\Rightarrow 3^(x-1)+4-4x+7`

`\Rightarrow 3^(x-1)-4x+11`

Hence,
`(f-g)(x)=3^(x-1)-4x+11`