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2 years ago

Which of these pairs of functions are inverse functions please help :(

Mathematics

1 answer:

Ivahew [28]2 years ago

3 0

Answer:

see below (both 2nd and 3rd choices)

Step-by-step explanation:

One way to tell if the functions are inverses is to look at f(g(x)). If the functions are inverses, then f(g(x)) = x.

A: f(g(x)) = 2^((log2(x -1) -1) -1) +1 = (2^(log2(x-1))(2^-2) +1 = (1/4)(x -1) +1 ≠ x

B: f(g(x)) = (1/2)(ln((2e^(2x+1))/2) -1) = (1/2)(ln(e^(2x+1)) -1) = (1/2)(2x +1 -1) = x

C: f(g(x)) = 4ln(e^((e^2x/8))^2)/e^2 = 8(e^2x/8)/e^2 = x

D: f(g(x)) = 10^((log(x+10)-10) -10)-10 = (10^log(x+10))(10^-10) -10

= (x +10)(10^-10) -10 ≠ x

_____

The 2nd and 3rd pairs of functions listed are inverses of each other.

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tatiyna

Answer:

Step-by-step explanation:

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2 years ago

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3 years ago

Read 2 more answers

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Marat540 [252]

Answer:

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Step-by-step explanation:

All we know about m and n are that they are not equal to each other and they are positive. This was given in the problem. See image. Once it is graphed you can see on the graph the lengths of DE and EF. Use Pythagorean theorem to calculate DF. see image.

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1 year ago

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Ksenya-84 [330]

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2 years ago

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solong [7]

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That would've been your answer because you cannot do anything else...Hope this helped :)

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