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
Anarel [89]
3 years ago
15

- If f ( x ) = x² + 2x - 1 and g ( x ) = 3x - 2 , then verify the following :

Mathematics
1 answer:
RideAnS [48]3 years ago
3 0

Step-by-step explanation:

Hey there!

Given;

f ( x ) = x² + 2x - 1

g ( x ) = 3x - 2

To verify:

( \frac{f}{g} )(2) =  \frac{f(2)}{g(2)}

LHS:

(\frac{f}{g} )(x) =  \frac{ {x}^{2}  + 2x - 1}{3x - 2}

~ Insert "2" instead of "x".

(\frac{f}{g} )(2) =  \frac{ {2}^{2} + 2 \times 2 - 1 }{3 \times 2 - 2}

Simplify it;

\frac{f}{g} (2) =  \frac{4 + 4 - 1}{6 - 2}

Therefore; (f/g)(2) = 7/4.

RHS:

\frac{f(x)}{g(x)}  =  \frac{ {x}^{2}  + 2x - 1}{3x - 2}

~Insert "2" instead of"x".

\frac{f(2)}{g(2)}  =  \frac{ {2}^{2} + 2 \times 2 - 1 }{3 \times 2 - 2}

Simplify it.

\frac{f(2)}{g(2)}  =  \frac{4 + 4 - 1}{6 - 2}

Therefore, f(2)/g(2) = 7/4.

Since (f/g)(2) = f(2)/g(2) = 7/4.

<em><u>Proved!</u></em>

<u>Hope </u><u>it </u><u>helps</u><u>!</u>

You might be interested in
 PLEASE HELP!!!
Nostrana [21]
Can you take a pic of the question because the link is not working
5 0
3 years ago
I NEED HELP PLEASE !!!!
Darya [45]

Answer:

a and c

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the solution to y=12
Nimfa-mama [501]

Answer:

y=12

Step-by-step explanation:

This equation cannot be simplified further.

Hope this helped! :)

8 0
2 years ago
A gym charges a one-time fee of $75 to join, plus membership dues of $25 per month. Which equation represents the total cost, C,
deff fn [24]

Answer:

75+25=100

Step-by-step explanation:

3 0
3 years ago
Which answer best details a weakness of the Articles of Confederation?
Daniel [21]

Answer:

The major weakness of the Articles of Confederation was that it did not allow Congress to tax the nation, which caused debt issues (A).

Explanation:

Not only this but it prevented the Congress from forming a central government that would be capable of ruling the newly formed United States.

6 0
3 years ago
Other questions:
  • Help! Check the picture Please!
    11·1 answer
  • I borrowed $50 from mum and $50 from dad to buy a bag costing $97. after the purchase, i had $3 left. i returned $1 to dad and $
    15·1 answer
  • What are some of the applications for exponential functions
    15·2 answers
  • Help it’s easy pleaase
    11·2 answers
  • What is 7/8 minus 3/32 equal​
    7·2 answers
  • A letter from the word probability is chosen at random. find each probability
    14·1 answer
  • Does anyone know the answer ?, thank you
    10·2 answers
  • Question
    9·1 answer
  • Kaysha's aunt gave her $5,500 when she was born. Her parents invested it at a rate of 4% interest rate compounded annually. No d
    13·1 answer
  • HELP I NEED HELP ASAP <br> HELP I NEED HELP ASAP <br> HELP I NEED HELP ASAP
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!