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AleksandrR [38]
3 years ago
9

The inverse of a function is a function. always /sometimes /never

Mathematics
2 answers:
Liono4ka [1.6K]3 years ago
7 0
The answer is sometimes
Lisa [10]3 years ago
4 0
Hmmm,
a function can be determined by the vertical line test
if you can draw a vertical line that passes through the graph twice, it is not a function

the inverse is the graph reflected across the line y=x
we can determine the answer to this question graphically

take y=x^2 for example
this is a function
reflected across the line y=x, and it is not a function
it fails the vertical line test

but, we can also take y=3x and reflect it and it is still a function

so the answer is sometimes
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Answer:

QUESTION ONE-

Cross multiply:

5 * 15 = 12 * y

Simplifying

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75 = 12 * y

Solving

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Move all terms containing y to the left, all other terms to the right.

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QUESTION TWO-

Cross multiply:

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Simplifying

8 * w = 20 * 6

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Solving

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QUESTION 3-

Cross multiply:

s + 1 * 8 = 4 * 4

Simplifying

s + 1 * 8 = 4 * 4

Reorder the terms:

1 + s * 8 = 4 * 4

Reorder the terms for easier multiplication:

8 * 1 + s = 4 * 4

1 * 8 + s * 8 = 4 * 4

8 + 8s = 4 * 4

Multiply 4 * 4

8 + 8s = 16

Solving

8 + 8s = 16

Solving for variable 's'.

Move all terms containing s to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -8 + 8s = 16 + -8

Combine like terms: 8 + -8 = 0

0 + 8s = 16 + -8

8s = 16 + -8

Combine like terms: 16 + -8 = 8

8s = 8

Divide each side by '8'.

s = 1

Simplifying

s = 1

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