Question

Let f(x) = 2x-1 and g(x) = x2 - 1. Find (f o g)(-7).

Answer 1

Answer: (f o g)(-7) = 95

Step by step solution:

We have the two functions:

`\begin{gathered} f(x)=2x-1 \\ g(x)=x^2-1 \end{gathered}`

We need to find (f o g)(-7) or f(g(-7)), first we evaluate g(-7):

`(f\circ g)(-7)=f(g(-7))`
`g(-7)=-7^2-1=49-1=48`

Now we evaluate f(48):

`f(48)=2\cdot48-1=96-1=95`