Engineering Maths: Increasing function

Question

If $f(x)$ is an increasing function ,then $(f(x))^2$ >$f(x)$ ? True/false

Comments

True since increasing function

if decreasing ,consider example of $1/x$ its false

Answer 1

I think so false ....consider function defined from [0,1]  f(x)=x....here(f(x))^2<f(x)