Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other
Given the functions expressed as:
In order to check whether they are inverses of each other, we need to show that h(g(x)) = g(h(x))
Get the composite function h(g(x))
Get the composite function g(h(x))
Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other
Learn more on inverse functions here; brainly.com/question/14391067
12.5% is the percentage of numbers randomly generated by Taylor's computer that is less than 0.5.
An illustration of a numerical distribution with continuous results is a density curve. A density curve is, in other words, the graph of a continuous distribution. This implies that density curves can represent continuous quantities like time and weight rather than discrete events like rolling a die (which would be discrete). As seen by the bell-shaped "normal distribution," density curves either lie above or on a horizontal line (one of the most common density curves).
The percentage of numbers randomly generated by Taylor's computer are less than 0.5 is given by
P(0≤X≤0.5)
=
= 0.125
That is 12.5%
Learn more about density curves here-
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