1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Andreyy89
3 years ago
10

evaluate the difference quotient for the given function. Simplify your answer. f(x)=1/x , (f(x) - f(a))/x-a

Mathematics
2 answers:
sergij07 [2.7K]3 years ago
6 0
Fx - a f - a x/ x
That's what I came up with
Bess [88]3 years ago
3 0

The formula for difference quotient is \frac{f(x)-f(a)}{x-a}

Here f(x) = \frac{1}{x}

So f(a) = \frac{1}{a}

First we shall find f(x) - f(a)

We get

f(x) - f(a)

==\frac{1}{x}-\frac{1}{a}

Making denominators same we get

\frac{a}{ax}-\frac{x}{ax}

So we get

f(x) - f(a) = \frac{a-x}{ax}

So the difference quotient shall be

\frac{f(x)-f(a)}{(x-a)}=\frac{\frac{a-x}{ax}}{(x-a)} =\frac{a-x}{ax(x-a)}

Hence the difference quotient is

\frac{f(x)-f(a)}{(x-a)}=\frac{a-x}{ax(x-a)}

You might be interested in
What is the inverse operation of cubed power
aleksley [76]

The inverse operation is a cubed root. It is a square root symbol with a small 3 to the left of the radical. The cubed root of x is a number, when cubed, gives x. For example, \sqrt[3]{8} =2.

6 0
3 years ago
What is the value of the expression below?<br><br> 0.72/0.36*2
Tanya [424]

Answer:

<h2>1</h2>

Step-by-step explanation:

0.72/0.36 x 2

0.72/0.72

1

I'm always happy to help :)

8 0
3 years ago
4 out of 9 dogs weigh less than 20 pounds. What is the decimal equivalent for the number of dogs weighing under 20 pounds?
iVinArrow [24]

4/9=0.44444444 repeating

6 0
3 years ago
The ratio of boys to girls in math classes is 5 :7. if there are 60 students in all or her classes, how many are boys
daser333 [38]
Total of ratio 5+7=12

60/12 = 5

For boys 5x5 = 25 boys in her class

(For girls 7x5 = 35)
6 0
3 years ago
What is the first quartile of the data displayed in this box-and-whisker plot? A)49 B)41 C)37 D)35
fiasKO [112]
C. 37
It is the lower quartile marked on the box-and-whisker plot and is the median of all data below the median
5 0
3 years ago
Read 2 more answers
Other questions:
  • What is -1 OVER 7 Multiplyed by 1 over 5
    12·1 answer
  • Ms. Lee, a single adult, earned $65,000 in taxable income last year. Use the rate table below to calculate how much she must pay
    5·1 answer
  • Given △RST ~ △RQP. Triangle P Q R. Side P Q is 8 centimeters and side P R is 12 centimeters. Triangle S R T. Side S T is x centi
    15·2 answers
  • In 2010, the number of participants in a checkers tournament was 2.6x10^4 people. In 2013, the number of participants in a check
    15·1 answer
  • Stephen was helping make party bags for his little brother’s party. They have to make a total of 10 party bags. They had 34 toy
    6·1 answer
  • Help please!! Im trying to figure it out but it’s confusing
    5·1 answer
  • then we can walk 1/3 miles in 5 minutes if Tammy walks a constant Pace how far does he walk in 1 minute ​
    11·1 answer
  • The wheels on Madison's bike are 64 inches in circumference. How many times do the wheels rotate if Madison rides 300 yards?
    15·1 answer
  • Please help my exam is going on please and both question of math<br>​
    14·1 answer
  • Use a common denominator<br> What does 1/9 equal?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!