Find the inverse function y gt t 1Solutiony gt t g1y t 1y

Find the inverse function: y = g(t) = t + 1

Solution

y =g(t) =>t =g^-1(y)

t +1=y

subtract 1 on both sides

t =y-1

squaring on both sides

t =(y-1)²

g^-1(y)=(y-1)²

g^-1(t)=(t-1)²

y=(t-1)²

so inverse of y =t +1 is y=(t-1)²