Question

Find the domain and range of the following function.

f(x) = `root(3)(x + 1)`

Answer 1

f(x) = `root(3)(x + 1)`

f(x) is defined for all x ∈ R

∴ Domain = R

If y = `root(3)(x + 1)`, y can take any real value

∴ Range = R

∴ Domain = Range = R.