MATHEMATICS HIGH SCHOOL

If g(x) is the inverse of f(x)=4x+12 and f(x)=, what is g(x)

Answers

Answer 1
Answer:

Answer:

f^(-1)(x)=g(x)=(x-12)/(4)

Step-by-step explanation:

The problem tell us that g(x) is the inverse of f(x), where:

f(x)=4x+12

So, we need to find the inverse function of f(x) in order to find g(x)

Let's find the inverse function using the following steps:

1. Replace  f(x) with y:

f(x)=y=4x+12

2. Solve the equation for x:

(y-12)/(4) =x

3. Replace every x with a y and replace every y with a x:

y=(x-12)/(4)

4. Finally, replace y with f^(-1)(x)

f^(-1)(x)=(x-12)/(4)

Therefore:

g(x)=f^(-1)(x)=(x-12)/(4)
Answer 2
Answer: Hello,
f(x)=y=4x+12

x=4y+12
==>4y=x-12
==>y=x/12- 3

g(x)=x/12 -3

Related Questions

The value of p in 18+6p=90 is???
There are only blue yellow and green cubes is a bag. There are three times as many blue cubes as yellow cubes. There are five times as many green cubes as blue cubes. I take out a random cube from the bag, what is the probability that I take out a yellow cube?
A countrys population in 1991 was 147 million. In 1998 it was 153 million. Estimate the population in 2017 using exponential growth formula. Round your answer to the nearest million. P=Ae to the power kt
Which of these is the algebraic expression for "nine less than some number?"9 / k k / 9 9 − k k − 9
An axiom of Geometry says that if _____ points lie in a plane, the _______ containing them also lies in the same plane.

Solve photo question, please. :)

Answers

coincident because it's two lines that have the same equation if you cancel them down. (coincident means that there are two lines that lie directly on top of eachother)

Aaron has a total net worth of $456. If his liabilities are $570, how much is the total of his assets?

Answers

Answer:

The total assets of Aaron is $1026 .

Step-by-step explanation:

As given in the question

Aaron has a total net worth of $456. If his liabilities are $570 .

Thus

Assets = Liabilities value + Total net worth value

Put all the values in the above

           = $570 + $456

           = $ 1026

Therefore the total assets of Aaron is $1026 .
the correct answer would be $1026 100% accurate

The equation of a line is x + 5y = 12. What is the y-intercept of the line? a. 12 b. 512 c. 125 d. −12

Answers

Answer:

c

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

x + 5y = 12 ( subtract x from both sides )

5y = - x + 12 ( divide through by 5 )

y = - (1)/(5) x + (12)/(5) ← in slope- intercept form

with y- intercept c = (12)/(5)

Suppose a triangle has sides 3, 4, and 6. Which of the following must be true? A. The triangle in question is a right triangle. B. The triangle in question is not a right triangle. C. The triangle in question may or may not be a right triangle.

Answers

We can use the Pythagorean theorem:
c² = a² + b²
In this case:
6² = 3² + 4²
36 = 9 + 16
36 = 25  ( not correct )
This is not a right triangle.
Answer:
B ) The triangle in questionis not a right triangle.

Answer:

not a right triangle

Step-by-step explanation:

Karen is 6 years older than Michelle and Michelle is 2 years younger then their brother. The sum of their ages is 62 how old is michelle

Answers

Let Karen, Michelle and their brother be represented by constants k, m and b respectively.

According to your question,

k = 6 + m
b = m + 2
k + b + m = 62.

Substituting for k and b in equation 3,

(6 + m) + (m + 2) + m = 62

= 3m + 8 = 62

3m = 54
m = 18.

Thus, k = 6 + m = 24
b= m + 2 = 20.

Thus, Karen's age is 24, Michelle's age is 18 and their brother's age is 20

Factor this polynomial using the factor theorem.
x^2 + 6x+ 9

Answers

Answer:

(x+3)(x+3)

Step-by-step explanation:

I hopw this helps ;-)
Other Questions
The most frequent attribute, in either grouped or ungrouped data, is the a. mean. b. median. c. mode. d. range. e. marginal.
A.Tell if the sequence is arithmetic, geometric orneither: 5, 30, 180, 1080
(9x3 - 2x2 - 3) - (4x3 - 9x + 6)
Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. f(x) = the quantity x minus seven divided by the quantity x plus three. and g(x) = quantity negative three x minus seven divided by quantity x minus one.