Which of the following pairs of functions are inverses of each other?

Mathematics

1 answer:

aleksley [76]3 years ago

3 0

Answer:

B. f(x) = 5(x/4) - 3 and g(x) = [4(x + 3)]/5

Step-by-step explanation:

In the figure attached, the question is shown (the order of the options are different).

To find the inverse of a function, first, replace x with g(x) and f(x) with x, as follows:

f(x) = 5(x/4) - 3

x = 5(g(x)/4) - 3

Next, isolate g(x), as follows:

x + 3 = 5(g(x)/4)

4(x + 3) = 5g(x)

[4(x + 3)]/5 = g(x)

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The rate (gallons per day) at which a pond loses water due to evaporation from one day after observation has started is give by

Andreyy89

Answer: see table below

Step-by-step explanation:

$\left\begin{array}{c|l}T&\qquad w(t)\\1&\dfrac{1}{1^2}=1\implies 1.00\\\\2&\dfrac{1}{2^2}=\dfrac{1}{4}\implies 0.25\\\\10&\dfrac{1}{10^2}=\dfrac{1}{100}\implies 0.01\\\\50&\dfrac{1}{50^2}=\dfrac{1}{2500}\implies 0.0004\\\\100&\dfrac{1}{100^2}=\dfrac{1}{10000}\implies 0.0001\\\\200&\dfrac{1}{200^2}=\dfrac{1}{40000}\implies 0.000025\\\\500&\dfrac{1}{500^2}=\dfrac{1}{250000}\implies 0.000004\\\\1000&\dfrac{1}{1000^2}=\dfrac{1}{100000}\implies 0.000001\\\end{array}\right$