Question

Which equation represents g? (Photo attached)

Answer 1

D.
`g(x)=8x-15`

Explanation:

Given

`g(x)= f(x-2)`

`f(x)=8x+1`

Now Calculating
`f(x-2)` by substituting value of
`x=x-2` in
`f(x)` function we get

`f(x-2)= 8(x-2)+1\\f(x-2)=8x-16+1\\f(x-2)=8x-15`

Now

`g(x)= f(x-2)`

`\therefore g(x)= 8x-15`