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just olya [345]
3 years ago
12

What is the inverse of the function f(x) = 1/4x – 12?

Mathematics
2 answers:
arlik [135]3 years ago
6 0
To find the inverse all you do is swap your x and y then solve it through. for this one you gotta take f(x) and make it y

y = 1/4x - 12

then swap

x = 1/4y - 12

then solve it through

x - 12 = 1/4y

divide by (1/4)

and (x - 12)4 = y should be your answer
Minchanka [31]3 years ago
5 0
To answer this, you want to start by changing 'f(x)' to 'x', and 'x' to the inverse function - let's call it 'g(x)'. This is inverting the function - it's like swapping the x and y axes around. That will give you: x = 1/4g(x) - 12

Now you want to rearrange that equation to put g(x) on the left hand side. That's not so hard to do - although I'm not sure if the question is (1/4)x or 1/(4x), so I'll answer for both:

x + 12 = (1/4)g(x)
4x + 48 = g(x)
g(x) = 4x + 48

or, if the question is 1/(4x):
x + 12 = 1/(4g(x))
1/(x + 12) = 4g(x)
1/(4x + 48) = g(x)
g(x) = 1/(4x + 48)
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On​ Melissa's 6th​ birthday, she gets a ​$5000 CD that earns ​3% ​interest, compounded . If the CD matures on her 10th ​birthday
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$5,632.45

Step-by-step explanation:

Assuming it is compounded semiannually, A(t) = P(1 + (r/n))^(n*t)

A(4) = 5000*(1 + (0.03/2))^(2*4)

A(4) = 5,000*(1.015)^8

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3 0
2 years ago
Mark recorded the growth of a plant over 8 weeks. The equation y=0.2 x+2
Leto [7]

Answer:

A. The height of the plant after week 3 was about 2.6 inches.

C. The height of the plant after week 9 was about 3.8 inches.

Step-by-step explanation:

The equation given:

Y = 0.2x + 2

x represents the number of weeks

substituting x = 3 into the equation , we will have

y = 0.2(3) + 2

y = 0.6 + 2

y = 2.6

This means that  the height of the plant after week 3 was about 2.6 inches.

Also , substituting x = 9 into the equation will give

y = 0.2 (9) + 2

y = 1.8 + 2

y = 3.8

This means that the height of the plant after week 9 was about 3.8 inches.

8 0
3 years ago
Using technology or other resources, research the average distance that each planet is from the sun (in kilometers). Once you ha
alexira [117]

Answer:

Planet Distance from Sun (in Km) Distance in scientific notation

Mercury 57,909,000 Km        5.7909 X 10^3

Earth  150.33 Million Km    1.50.33 X 10^6

Mars  2.10.06 Million Km  2.1006 X 10^6

Jupiter  768.26 Million Km      7.6826 X 10^6

Neptune 4.4763 Billion Km     4.4763 X 10^9

Uranus  2.5957 Billion Km         2.5957 X 10^9

Saturn  1.4936 Billion Km                  1.4936 X 10^9

Venus  107.95 Million Km                 1.0795 X 10^6

Step-by-step explanation:

4 0
3 years ago
Which relations are functions? List the relation number(s) that are function(s) in the answer bank
Sergeu [11.5K]

Answer:

options 1,3,4 are functions.

Step-by-step explanation:

RULE: a relation is said to be a function if every element in the domain ( the numbers in the left side in the below sets) is related to only one number ( number on the right side in the below sets).

Let us check each option one by one:

1.   3           2

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   -4           7

    0          -2

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so this relation is a function

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3.  -2    -4

    2      4

    6      8

    -6    -8

here each number on the left side is mapped to or is related to one number only.

so this relation is a function

4.  1     3

   -1    3

   2    3

  -2    3

here each number on the left side is mapped to or is related to one number only.

so this relation is a function.

even if it is related to the same number, it doesn't matter.

it should follow the above given rule that's it.

6 0
3 years ago
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