For the Function F, Use Composition of Functions to Show $\mathrm { f } ^ { - 1 } \text { is as given. }$

question 27

Essay

For the function f, use composition of functions to show that f $\mathrm { f } ^ { - 1 } \text { is as given. }$
- $$f ( x ) = \frac { x - 2 } { 8 } , f ^ { - 1 } ( x ) = 8 x + 2$$

---

Definitions:

Sampling Distribution

The probability distribution of a statistic based on a large number of samples or replicates.

Probability Distribution

Describes how the probabilities are distributed over the values of a random variable.

Expected Value

The expected value of a variable, determined by summing up all possible values, each weighed by its probability of happening.

Sampling Distribution

The probability distribution of a given statistic based on a random sample, used to make inferences about the population.