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 me solve
Inga [223]

Answer:

s= -2

Step-by-step explanation:

3 0
2 years ago
Please help thanks :)
natta225 [31]

Answer:

Distributive Property

Step-by-step explanation:

x(8x+3y)\\We\ multiply\ the\ term\ outside\ brackets\ with\ terms\ inside\ the\ bracket\ equally,\\through\ the\ distributive\ property\ method\ .\\\\Hence,\\x(8x+3y)\\=8x*x+3y*x\\=8x^2+3xy

8 0
3 years ago
Which function passes through the points (2, 15) and (3, 26)?
igor_vitrenko [27]
<span>Which function passes through the points (2, 15) and (3, 26)?
</span> 
Its B
7 0
3 years ago
Read 2 more answers
The difference of the range and the interquartile range of the data set represented by the box plot is .
Ivahew [28]
When presented with a box plot, it is better to identify the 5 numbers that are important in the box plot.

5 number summary of the boxplot.
1) minimum number - 16
2) 1st quartile - 21
3) 2nd quartile or median - 26
4) 3rd quartile - 29
5) maximum number - 34

Range is the difference of the maximum value from the minimum value of the data set.
Interquartile range is the difference of the 3rd quartile from the 1st quartile.

Range: 34 - 16 = 18
IQR: 29 - 21 = 7


6 0
3 years ago
Read 2 more answers
How do i find the ratio 2:9
Ganezh [65]
The ratio of 2:9 has to be 2:9 do to the fact you can't simplify the fraction 2/9.
Hoped I helped.
6 0
3 years ago
Other questions:
  • Laticia randomly selected 25% off the seventh grade students and her school and ask them their favorite season of the students s
    9·1 answer
  • In preparation for the Senior Prom, 8 seniors got together and decided to travel in style and rent a limousine. They investigate
    15·1 answer
  • Solve the inequality: 6x+8 &gt; 6(x+2)
    12·1 answer
  • If f(x) = –5x – 4 and g(x) = –3x – 2, find (f – g)(x).
    12·2 answers
  • Simplify the expression (4x^3y^-5)^4 PLEASE HELP!!!!
    15·2 answers
  • HELPPPPPPP ASAP!!!!!!!!!!!!
    10·2 answers
  • Do you know what is 0.11 x 0.91
    15·2 answers
  • Dimitri wrote the equations y = 3x and y = x + 3.
    11·1 answer
  • There are 5 types of fruit in a basket. There are 3 apples, 2 bananas, 4 oranges, 5 kiwi, and 1 passionfruit. You ask a friend t
    9·1 answer
  • A shape has an area of 37 mm², of which 60%
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!