Determine Whether $$( f \circ g ) ( x ) = x \text { and whether } ( g \circ f ) ( x ) = x \text {. }$$

question 117

Multiple Choice

Determine whether $$( f \circ g ) ( x ) = x \text { and whether } ( g \circ f ) ( x ) = x \text {. }$$
- $f ( x ) = x ^ { 3 } + 8 , g ( x ) = \sqrt [ 3 ] { x - 8 }$

• A) No, yes
• B) Yes, yes
• C) No, no
• D) Yes, no

---

Definitions:

Expected Value

The long-run average value of repetitions of the same experiment or random trial.

Triangular Distribution

A probability distribution with a shape formed by a triangle, which is specified by a minimum, a maximum, and a mode value.

Expected Value

The weighted average of all possible values of a random variable, taking into account their probabilities.

Bounded Distribution

A statistical distribution with both a minimum and maximum value, limiting the range of possible outcomes.