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

Question

Pkease help!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

g(x)=2x+2

g(a)=2a+2                                                (just replace x in a)

g(a+h)=2(a+h)+2                                      (just replace x in a+h)

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

                    =(2a+2h+2)-(2a+2)

                    =(2a+2h+2-2a-2)

                   = 2h

i.e. g(a+h)-g(a)=2h

Answer 2

given that

g(x)=2x+2

g(a)=2a+2                                                 (just replace x in a)

g(a+h)=2(a+h)+2                                      (just replace x in a+h)

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

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

                     =(2a+2h+2-2a-2)

                     = 2h

there fore  g(a+h)-g(a)=2h