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
xenn [34]
1 year ago
15

Consider functions f and g.1 + 12f(1) = 12 + 4. – 12for * # 2 and 7 -64.2 – 16. + 1641 +48for a # -12 Which expression is equal

to f(x) · g(t)?OA.41 - 81 + 61OB.SIKIAOC.21 + 6I + 2D.6

Mathematics
1 answer:
lisabon 2012 [21]1 year ago
4 0

Given the following functions below,

\begin{gathered} f(x)=\frac{x+12}{x^2+4x-12}\text{ and} \\ g(x)=\frac{4x^2-16x+16}{4x+48} \end{gathered}

Factorising the denominators of both functions,

Factorising the denominator of f(x),

\begin{gathered} f(x)=\frac{x+12}{x^2+4x-12}=\frac{x+12}{x^2+6x-2x-12}=\frac{x+12}{x(x+6)-2(x+6)}=\frac{x+12}{(x-2)(x+6)} \\ f(x)=\frac{x+12}{(x-2)(x+6)} \end{gathered}

Factorising the denominator of g(x),

\begin{gathered} g(x)=\frac{4x^2-16x+16}{4x+48}=\frac{4(x^2-4x+4)}{4(x+12)} \\ \text{Cancel out 4 from both numerator and denominator} \\ g(x)=\frac{x^2-4x+4}{x+12}=\frac{x^2-2x-2x+4}{x+12}=\frac{x(x-2)-2(x-2)}{x+12}=\frac{(x-2)^2}{x+12} \\ g(x)=\frac{(x-2)^2}{x+12} \end{gathered}

Multiplying both functions,

undefined

You might be interested in
Any help will be great!
son4ous [18]

Answer:

180

Step-by-step explanation:

75% times 240 would be 180

6 0
3 years ago
Read 2 more answers
2.37 / x = 1<br> What is x?
NeTakaya

Answer: 2.37

Step-by-step explanation:

Multiply each side by x to get  rid of the denominator on the left side.

You get:

2.37 = 1x

1x = x

Therefore, 2.37 = x.

Also, any number divided by itself must be 1.  

3 0
3 years ago
Read 2 more answers
Max and his family visited the beach
Alex17521 [72]
They stayed at the beach for 7 days. 4 x 3 = 12. 12 - 5 = 7
7 0
3 years ago
Read 2 more answers
Complete the number sentence to make it true
Mila [183]
The answer is 54.609 is less than 54.69
3 0
2 years ago
Please help it’s lines
JulijaS [17]
I think the answer is c, 88
Hope this helps :)
6 0
3 years ago
Other questions:
  • Mary is wrapping a can of paint as a gag gift for a friend. If the can is 11 inches high and has a diameter of 7 inches. How man
    7·1 answer
  • Marilyn has 10 caramels, 12 mints, and 14 bars of dark chocolate in a bag. She picks three items from the bag without replacemen
    9·2 answers
  • -1/2 + (3/4times4/9)=
    14·1 answer
  • Find the percent of increase. 1. original price: $60 retail price: $84?
    7·1 answer
  • A number to the 9 power divided by the same number to the 6 power equals 27 what is the number
    12·1 answer
  • Luis rolled a number cube 60 times. He rolled the number 6 four times. Which is most likely the cause of the discrepancy between
    10·3 answers
  • Write a fraction that is equivalent to 6 divided by 27
    9·2 answers
  • What is the total number of students in Ms. perron class
    10·2 answers
  • What is the distance between the points (−6, 2) and (−6, −11)?<br> A) 4 B) 5 C) 13 D) 17
    11·1 answer
  • Solving by elimination
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!