Answer:
[tex] g(x) = 2x+2[/tex]
Let's find g(a+h):
[tex] g(a+h)=2*(a+h) +2= 2a +2h +2[/tex]
And now let's find g(a)
[tex] g(a)= 2a+2[/tex]
And now finally:
[tex] g(a+h) = 2a +2h +2 -2a-2 = 2h +2-2= 2h[/tex]
Step-by-step explanation:
We have the following function given:
[tex] g(x) = 2x+2[/tex]
Let's find g(a+h):
[tex] g(a+h)=2*(a+h) +2= 2a +2h +2[/tex]
And now let's find g(a)
[tex] g(a)= 2a+2[/tex]
And now finally:
[tex] g(a+h) = 2a +2h +2 -2a-2 = 2h +2-2= 2h[/tex]
