Determine which two functions are inverses of each other 21

-Determine which two functions are inverses of each other. 21) f(x) =-6 Q U g(x) = 4x + 6 h(x)--

Solution

f(x) = (x+6)/4

g(x) = 4x + 6

h(x) = (x-6)/4

x = 4f(x) - 6 => f^-1(x) = 4x - 6

x = (g(x) - 6)/4 => g^-1(x) = (x - 6)/4 = h(x)

=> g(x) and h(x) are inverse functions of each other.