Question

Given functions f and g, perform the indicated operations,Let f(x) = -3x + 2 and g(x) = x2 + 4x - 7Find f(4) - g(4)A 53B 35C -35D 15 What’s the answer?

Answer 1

Given the functions f and g as;

`\begin{gathered} f(x)=-3x+2 \\ g(x)=x^2+4x-7 \end{gathered}`

We want to find f(4) - g(4).

Firstly let's find the value of f(4) and g(4) separately then we can subtract them after. So, we substitute 4 into each equation (x=4)

`\begin{gathered} f(x)=-3x+2 \\ f(4)=-3(4)+2=-10 \end{gathered}`

Then for g(4);

`\begin{gathered} g(x)=x^2+4x-7 \\ g(4)=(4)^2+4(4)-7=16+16-7 \\ g(4)=25 \end{gathered}`

So, finally;