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defon
3 years ago
13

Attachment What is the inverse of the function

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
7 0

The correct answer is D.


In order to solve for a function's inverse, you must start by switching the x and f(x) values. Then you solve for the new f(x). Once you have done that, you'll be left with the new function, which is the inverse of the original. See the work below for how this one will be solved.


f(x) = \sqrt{x - 1} + 5 ----> Switch the x and f(x)

x = \sqrt{f(x) - 1} + 5 ----> Now subtract the 5 from both sides.

x - 5 = \sqrt{f(x) - 1} ---> Now square both sides.

(x-5)^{2} = f(x) - 1 ----> Now add 1 to both sides.

(x-5)^{2} + 1 = f(x)


And now that you have something equaling f(x), you can change the order and match it up to answer D.


f(x) = (x-5)^{2} + 1

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Okay so the income tax minus the deductions will come to:

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3 years ago
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3 years ago
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Abby used the law of cosines for TriangleKMN to solve for k.
torisob [31]

Answer:

  m∠K = 37° and n = 31

Step-by-step explanation:

A lot of math is about matching patterns. Here, the two patterns we want to match are different versions of the same Law of Cosines relation:

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<h3>Comparison</h3>

Comparing the two equations, we note these correspondences:

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  • A = 37°

Comparing these values to the given information, we see that ...

  • KN = c = 53 . . . . . . . . . . matching values 53
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  • ∠K = ∠A = 37° . . . . . . . matching side/angle names

Abby apparently knew that ∠K = 37° and n = 31.

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<em>Additional comment</em>

Side and angle naming for the Law of Sines and the Law of Cosines are as follows. The vertices of the triangle are labeled with single upper-case letters. The side opposite is labeled with the same lower-case letter, or with the two vertices at either end.

Vertex and angle K are opposite side k, also called side NM in this triangle.

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2 years ago
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Answer:

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Step-by-step explanation:

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