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sammy [17]
3 years ago
15

18. Find the inverse of {(4, -1), (3, -2), (6, 9), (8, 5)}.

Mathematics
1 answer:
nadezda [96]3 years ago
5 0
An inverse function will simply reverse the coordinate pairs of the original function.  If f(x)=(x,y), f^-(x)=(y,x).

So 18 is H

...

If f(x)=y=3x-4, to find the inverse function, solve for x, and then reverse the labels as seen below...

y=3x-4

y+4=3x

(y+4)/3=x so the inverse function is:

y=(x+4)/3
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809 * 56 =

Simply use your calculator.

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Using a multiplication table Square P equals 4S
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Solve this problem???​
Svetllana [295]

The denominator of the first term is a difference of squares, such that

4<em>a</em> ² - <em>b</em> ² = (2<em>a</em>)² - <em>b</em> ² = (2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>)

So you can write the fractions as

(4<em>a</em> ² + <em>b</em> ²)/((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>)) - (2<em>a</em> - <em>b</em>)/(2<em>a</em> + <em>b</em>)

Multiply through the second fraction by 2<em>a</em> - <em>b</em> to get a common denominator:

(4<em>a</em> ² + <em>b</em> ²)/((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>)) - (2<em>a</em> - <em>b</em>)²/((2<em>a</em> + <em>b</em>) (2<em>a</em> - <em>b</em>))

((4<em>a</em> ² + <em>b</em> ²) - (2<em>a</em> - <em>b</em>)²) / ((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>))

Expand the numerator:

(4<em>a</em> ² + <em>b</em> ²) - (2<em>a</em> - <em>b</em>)²

(4<em>a</em> ² + <em>b</em> ²) - (4<em>a</em> ² - 4<em>ab</em> + <em>b</em> ²)

4<em>ab</em>

<em />

So the original expression reduces to

4<em>ab</em> / ((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>))

or

4<em>ab</em> / (4<em>a</em> ² - <em>b</em> ²)

upon condensing the denominator again.

8 0
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Lina20 [59]
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Solve for v <br> 4v=72<br> Simplify your answer as much as possible.
Ludmilka [50]
Answer:
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Explain:
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Begin by dividing both sides
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hopefully this helps you with your problem!
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