Find each of the following for ​ f(x) = 8x + 3. ​ (a) f (x + h) ​(b) f (x + h – f (x) ​ (c) (f (x+h – f(x))/h

Question

Find each of the following for ​
f(x) = 8x + 3. ​
(a) f (x + h)
​(b) f (x + h – f (x) ​
(c) (f (x+h – f(x))/h

in progress 0
Piper 2 weeks 2021-09-10T09:30:19+00:00 1 Answer 0

Answers ( )

    0
    2021-09-10T09:31:24+00:00

    Answer:

    (a)

              f(x+ h)=8x+8h+3  

    (b)

                f(x+ h)-f(x)=8h          

    (c)

                 \dfrac{f(x+ h)-f(x)}{h}=8

    Step-by-step explanation:

    We are given a function f(x) as :

                  f(x)=8x+3

    (a)

               f(x+ h)

    We will substitute (x+h) in place of x in the function f(x) as follows:

    f(x+h)=8(x+h)+3\\\\i.e.\\\\f(x+h)=8x+8h+3

    (b)

           f(x+ h)-f(x)              

    Now on subtracting the f(x+h) obtained in part (a) with the function f(x) we have:

    f(x+h)-f(x)=8x+8h+3-(8x+3)\\\\i.e.\\\\f(x+h)-f(x)=8x+8h+3-8x-3\\\\i.e.\\\\f(x+h)-f(x)=8h

    (c)

               \dfrac{f(x+ h)-f(x)}{h}            

    In this part we will divide the numerator expression which is obtained in part (b) by h to get:

               \dfrac{f(x+ h)-f(x)}{h}=\dfrac{8h}{h}\\\\i.e.\\\\\dfrac{f(x+h)-f(x)}{h}=8    

Leave an answer

Browse
Browse

27:3+15-4x7+3-1=? ( )