Use the Property of Inverse Functions to Show That $f ( x ) = \frac { 3 x - 5 } { 5 }$

question 95

Essay

Use the Property of Inverse Functions to show that $f ( x ) = \frac { 3 x - 5 } { 5 }$ and $g ( x ) = \frac { 5 } { 3 } x + \frac { 5 } { 3 }$ are inverses of each other.

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Definitions:

Solve For C

A directive, often seen in mathematics, to find the value of the variable 'C' within an equation.

Pair Of Equations

Two equations that are considered together, often used in algebra to find the values of variables that satisfy both equations simultaneously.

Verify Solution

The process of confirming that a proposed solution to a problem is correct, often through mathematical proof or experimental testing.

Five-Figure Accuracy

Precision that extends to five digits, often used in measurements or financial calculations.