find the inverse function g x9x225x0SolutionSolution g x9x22

find the inverse function g (x)=9x^2-25,x>0

Solution

Solution:

g (x)=9x^2-25, x>0

y = 9x^2 -25

Now switch x and y

x = 9y^2 -25

and solve for y

9y^2 = x+25

y^2 = (x+25)/9

y = (x+25)/3

this inverse function g^-1(x) =  (x+25)/3

Answer