Find the inverse of the following functions Find the inverse

Find the inverse of the following functions:

Find the inverse of the following functions: f(x) = 2x^3 + 3 h(x) =^3 Squareroot x - 3

Solution

a)let f(x)=y

=>x =f^-1(y)

given f(x)=2x³+3

2x³+3=y

2x³=y-3

x³=((y-3)/2)

x=³((y-3)/2)

f^-1(y)=³((y-3)/2)

f^-1(x)=³((x-3)/2)

b)let h(x)=y

=>x =h^-1(y)

given h(x)=³x -3

³x -3=y

³x =y+3

x=(y+3)³

h^-1(y)=(y+3)³

h^-1(x)=(x+3)³