Answer:
f(x) and g(x) are inverses
Step-by-step explanation:
To determine if the 2 functions are inverses
If f(g(x)) = g(f(x)) = x then f(x) and g(x) are inverses
f(g(x)) = f(2x + 22)
= [tex]\frac{1}{2}[/tex] ( 2x + 22) - 11 = x + 11 - 11 = x
and
g(f(x)) = g([tex]\frac{1}{2}[/tex] x - 11 ) + 22
= 2 ([tex]\frac{1}{2}[/tex] x - 11 ) + 22 = x - 22 + 22 = x
Hence f(x)) and g(x)) are inverses
