Let m(x)=x+5 What are the functions for the following?

Question

a. m^-1(x)

b. m^-1(m(100))

c. m^1(10)

Answer 1

the inverse is found by switching x and y and solving for y

y= x+ 5

x=y + 5

y = x-5

m^-1(x) = x-5

m(100) = 100+5 = 105

m^-1(m(100) = m^-1(105) = 105-5 = 100

m^1(10) = 10+5 = 15