Use the definition of inverses to determine whether f and g are inverses.
-$f ( x ) = 7 x - 7 , \quad g ( x ) = \frac { 1 } { 7 } x + 1$

Name: Use the definition of inverses to determine whether f and g are inverses. -$f ( x ) = 7 x - 7 , \quad g ( x ) = \frac { 1 } { 7 } x + 1$
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Two functions are inverses if $ f(g(x)) = x $ and $ g(f(x)) = x $. For $ f(x) = 7x - 7 $ and $ g(x) = \frac{1}{7}x + 1 $, both compositions simplify to $ x $, confirming they are inverses.

Use the Definition of Inverses to Determine Whether F and G