Question

inverse function of f(x)=sqrt(x^2+5x)
An explanation of method would be great!

Answer 1

y = sqrt(x^2 + 5x)
y^2 = x^2 + 5x
y^2 = x^2 + 5x + 2.5^2 - 2.5^2
y^2 = (x+2.5)^2 - 2.5^2
sqrt(y^2 + 2.5^2) = x +2.5
x = sqrt(y^2 + 2.5^2) - 2.5

so y = sqrt(x^2 + 2.5^2) - 2.5 is the inverse :)

Answer 2

Thanks!