Respuesta :

MrsStrong

Answer:

[tex](f-g)(x) = 5^x +3x -2[/tex]

Step-by-step explanation:

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

[tex](f-g)(x) = 5^x - 4 -(-3x-2)\\(f-g)(x) = 5^x - 4 +3x + 2\\(f-g)(x) = 5^x +3x -2[/tex]

Answer:   [tex](f-g)(x)=-5^x+3x-2.[/tex]

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

[tex]f(x)=-5x^x-4,\\\\g(x)=-3x-2.[/tex]

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

We know that

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

[tex](p-q)(x)=p(x)-q(x).[/tex]

So, we get

[tex](f-g)(x)\\\\=f(x)-g(x)\\\\=(-5^x-4)-(-3x-2)\\\\=-5^x-4+3x+2\\\\=-5^x+3x-2.[/tex]

Thus, [tex](f-g)(x)=-5^x+3x-2.[/tex]

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