Answer:
The inverse is sqrt(x+9)
Step-by-step explanation:
f(x)=x^2-9
To find the inverse of the function, we interchange x and y and solve for y
y = x^2 -9
x = y^2 -9
Add 9 to each side
x+9 = y^2 -9+9
x+9 = y^2
Take the square root of each side
sqrt(x+9) = sqrt(y^2)
sqrt(x+9) = y
f^-1 (x) = sqrt(x+9)
