Question

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

Answer 1

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

Step-by-step explanation: We are given the following two functions :

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

We are to find the expression for (f - g)(x).

We know that

for any two functions p(x) and q(x),

`(p-q)(x)=p(x)-q(x).`

So, we get

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

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

Answer 2

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

Explanation:

The value (f-g)(x) means subtract the function g from f. This can be done by combining only like terms between each.

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