Question

Consider the following functions.f(x) = x2 – 16 and g(x) = x +4-Step 2 of 4: Find (f - 8)(x). Simplify your answer.Answer( -8)(x) ==

Answer 1

We want to find the subtraction of two functions, f and g, we can write it as

$(f-g)(x)$

That's the same thing as

$(f-g)(x)=f(x)-g(x)$

Then we can put the definition of f and g and solve it

$f(x)-g(x)=(x^2-16)-(x+4)$

Simplify it

$\begin{gathered} f(x)-g(x)=(x^{2}-16)-(x+4) \\ \\ f(x)-g(x)=x^2-16-x-4 \\ \\ f(x)-g(x)=x^2-x-20 \\ \end{gathered}$

The final answer is

$(f-g)(x)=x^2-x-20$