For fx 8x 6 evaluate each of the following a f7 b f2a c fa

For f(x) = 8x 6, evaluate each of the following.

(a) f(7)

(b) f(2a)

(c) f(a + h) f(a) /h, h 0

Solution

Solution: given f(x)=8x-6                                      .......................1]

a]: putting x=-7 in eq. 1], then f(-7)=8*-7-6=-62     

b]: putting x=2a in eq. 1] then f(2a)=8*2a-6=16a-6

c]: putting x=a+h in eq. 1] then f(a+h)=8(a+h)-6 & putting x=a in eq. 1] then f(a)=8a-6

    subtrect according to thies eq.            (f(a + h) f(a))/h= (8(a+h)-6-8a+6)/h=8