Question

If g (x) = 2x + 2, find g (a + h) - g (a)

Answer 1

`g(x) = 2x+2`

Let's find g(a+h):

`g(a+h)=2*(a+h) +2= 2a +2h +2`

And now let's find g(a)

`g(a)= 2a+2`

And now finally:

`g(a+h) = 2a +2h +2 -2a-2 = 2h +2-2= 2h`

Explanation:

We have the following function given:

`g(x) = 2x+2`

Let's find g(a+h):

`g(a+h)=2*(a+h) +2= 2a +2h +2`

And now let's find g(a)

`g(a)= 2a+2`

And now finally:

`g(a+h) = 2a +2h +2 -2a-2 = 2h +2-2= 2h`