Question

Show algebraically and graphically that the Squaring Function and the Square Root Function are inverses of each other.

Answer 1

unfortunately they aren't

Answer 2

if \(x=-3\) then \(x^2=(-3)^2=9\) and \(\sqrt{9}=3\)

Answer 3

they are only inverse if you restrict the domain of \(f(x)=x^2\) to \([0,\infty)\)

Answer 4

ok so how would you algebraically show that when the domain is restricted

Answer 5

if \(x\geq\) then \((\sqrt{x})^2=x\) and \(\sqrt{x^2}=x\)

Answer 6

thanks