Question

f(x) = (x+ 1)^3/4
For the function f, defined above, what are all the values of x for which f(x) is a real number?
The answer is x >= -1, why?

Answer 1

\(\large f(x) = (x+ 1)^{\frac{3}{4}} = ((x+ 1)^{3} )^{\frac{1}{2}})^\frac{1}{2}\)

so put in x = -1.01 and work out f(x)

Answer 2

Ahh, I see! Ah shoot, that was an easy one .-.

Answer 3

Thank you ^_^