Question

given g(x)= -12f(x+1)+7 and f(-4)=2 fill in the blanks round answers to 2 decimal points as needed g( )=

Answer 1

We know the value of f(-4), which is 2

Let's think about a value of x in which we can calculate the value of f(x+1) using the given information (it means x+1 has to be equal to -4)

x+1=-4

x=-4-1

x=-5

Now use this value to calculate g(x)

`\begin{gathered} g(-5)=-12\cdot f(-5+1)+7 \\ g(-5)=-12\cdot f(-4)+7 \end{gathered}`

As we said, we already know the value of f(-4), use it to calculate g(-5)

`\begin{gathered} g(-5)=-12\cdot2+7 \\ g(-5)=-24+7 \\ g(-5)=17 \end{gathered}`