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tigry1 [53]
3 years ago
12

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

Mathematics
2 answers:
Tasya [4]3 years ago
7 0

Answer:

The inverse is 4x+48

Step-by-step explanation:

y = 1/4x - 12

Exchange x and y

Solve for y

x = 1/4y -12

Add 12 to each side

x+12 = 1/4 y -12+12

x+12 = 1/4y

Multiply each side by 4

4(x+12) = 4*1/4y

4x+48 = y

The inverse is 4x+48

katrin [286]3 years ago
6 0

Answer:

4x + 48

Step-by-step explanation:

f(x) = 1/4x-12

y = 1/4x - 12

Switch variables.

x = 1/4y - 12

Solve for y.

x = 1/4y - 12

Add 12 on both sides.

x + 12 = 1/4y - 12 + 12

x + 12 = 1/4y

Multiply both sides by 4/1.

4/1(x + 12) = 1/4y × 4/1

4x + 48 = y

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Step-by-step explanation:

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slope = (7 - 3)/(4 - 2)

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He graph of the function f(x) = –(x + 6)(x + 2) is shown below.
Molodets [167]

The domain of the function is all real numbers, the range of a function is y ≤ 4

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

f(x) = –(x + 6)(x + 2)

If we plot this function on the coordinate plane, we will see it is a graph of a quadratic function.

Here the no other details are given.

But we can say:

  • The domain of the function is all real numbers.
  • The range of a function is y ≤ 4
  • The x-axis intercept will be at (-6, 0) and (-2, 0).

Thus, the domain of the function is all real numbers, the range of a function is y ≤ 4

Learn more about the function here:

brainly.com/question/5245372

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