a.) If f is one-to-one and f(2)=10, then f^-1(10)= and (f(2))^-1= b.) If g is one-to-one and g(5)=14, then g^-1(14)= and g(5))^-1=

Answer 1

An inverse function is a function that "reverses" another function: if the function f applied to an input x gives a result of y, then applying its inverse function f^-1 to y gives the result x, and vice versa, 

a.) If f is one-to-one and f(2)=10,

then f^-1(10) = 2

and (f(2))^-1 = (10)^-1 = 0.1

b.) If g is one-to-one and g(5)=14,

then g^-1(14) = 5

and (g(5))^-1 = (14)^-1 = 1/14