Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.

1 answer:

maks197457 [2]3 years ago

5 0

F(g(x)) = [(-7x-8)/(x-1) - 8} / [(-7x - 8)/(x-1) + 7] =

[(-7x - 8 - 8(x-1)) / (x-1)] / [(-7x - 8 + 7(x-1)) / (x-1)] = (-15x) / (-15) = x.

g(f(x)) = [-7*(x-8)/(x+7) - 8] / [(x-8)/(x+7) - 1] =

[(-7x + 56 -8*(x+7)) / (x+7)] / [(x - 8 - (x + 7)) / (x+7)] = (-15x) / (-15) = x.

So since f(g(x)) = g(f(x)) = x we can conclude that f and g are inverses.

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Alana practice dancing 11/4 hours on Monday 19/8 hours on Wednesday and 2.6 hours on Friday on which day did she practice the cl

liubo4ka [24]

Answer:

On Wednesday

Step-by-step explanation:

In this question, We have Alana practicing for three days. We now need to know in which of the days has she practiced closest to 2 hours. Hence, what we are to do here is simply find which of the practicing hours is nearest to 2hours.

The best thing to do here is to work with minutes. Hence whatsoever fraction we are having would be worked with based on minutes. Let’s do this!

On Monday, she practiced 11/4 hours. This means she practiced 11/4 * 60 minutes = 165 minutes

On Tuesday, practice was for 19/8 hours. This means she had practiced for 19/8 *60 = 142.5 minutes

Lastly, on Wednesday, her practice time was 2.6 hours and that is 2.6 * 60 = 156 minutes

Kindly note that 2 hours is same as 120 minutes. We just need to know which of these minutes is closest to 120 minutes. From what we have, 142.5 is the closest.

This means that her practice on Wednesday is the closest to two hours.

4 0

3 years ago

Read 2 more answers

4x - 9 = 2x + 7.<br>I need correct explanation with please.

Luden [163]

Answer:

Step-by-step explanation:

4x - 9 = 2x + 7

4x - 2x = 7 + 9

2x = 16

x = 16 / 2