Question

If f(x)=-5^x-4 and g(x)=-3x-2,find (f-g)(x)

Answer 1

if f(x) = -5^x - 4 and g(x)= - 3x - 2,find (f-g)(x)

(f-g)(x) = -5^x - 4 - (-3x - 2)

(f-g)(x) = -5^x - 4 + 3x + 2

(f-g)(x) = - 5^x + 3x - 2

Answer 2

The answer is:

`f(x)-g(x)=-5^x+3x-2`

Explanation:

You need to subtract these two functions:

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

When you subtract you need to consider the mathematical signs, that is the reason because the signs in the function g(x) change:

- and - =+

+ and - = -

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