Question

HELP!!!!
One sec I need to write it out

Answer 1

In the study of calculus, the difference quotient \[\frac{ f(a+h)-f(a) }{ h }\] is often found and simplified. Find and simplify this quotient for the function f(x). Complete parts a through d.

f(x)=\[\frac{ 4 }{ x }\]

a. Find f(a+h)

b. Find f(a)

c. Use steps a and b to find \[\frac{ f(a+h)-f(a) }{ h }\]

d. Simplify the result of step c.
\[\frac{ f(a+h)-f(a) }{ h }\]

Answer 2

@sleepyjess

Answer 3

are you actually taking calculus, or not ?

Answer 4

i'm taking college algebra, my professor threw in a random calculus question, not very happy lol

Answer 5

\(\large\color{black}{ \displaystyle f(x)=\frac{x}{4} }\)

just plug in 'x+h' everywhere, instead of just 'x'

Answer 6

if I wanted to find f(a+b+c) I would do this

\(\large\color{black}{ \displaystyle f(x)=\frac{x}{4} }\)

\(\large\color{black}{ \displaystyle f(a+b+c)=\frac{a+b+c}{4} }\)

Answer 7

you need f(x+h), can you tell me what f(x+h) is going to be ?

Answer 8

f(a+h)?

Answer 9

((your simplified result will be the derivative function, but don't worry about that for now))

Answer 10

If, \(\large\color{black}{ \displaystyle f(x)=\frac{x}{4} }\)


then, \(\large\color{black}{ \displaystyle f(x+h)=\frac{x+h}{4} }\)

Answer 11

is this making sense ?

Answer 12

ok hold on i type slow lol

Answer 13

you can draw it, if you want

Answer 14

you have atypo somewhere in the question

Answer 15

either make it all A's or all X's