Algebra
posted by CAL on .
If g(x)=3x5, then g inverse(x)=

Three steps to inverse:
1. interchange x and y
2. solve y in terms of x
3. evaluate f^{1}(f(x)) to make sure you get back x.
1. Interchange x and y
Let y=g(x)=3x5
then
x=3y5
2. solve for y
y=(x+5)/3
3. evaluate g^{1}(g(x))
g^{1}(g(x))
=([3x5]+5)/3
=(3x)/3
=x OK