Question

What is \[f\left(\frac{1}{8}\right)\] for \[f(x)=12x^{\frac{4}{3}}-6x^{\frac{1}{3}}\]?

Options

• \[18\]

• \[6\]

• \[\frac{-9}{4}\]

• \[0\]

Answer 1

Substitution of \[x=1/8\] into the original function gives \[12(1/8)^{\frac{4}{3}}-6(1/8)^{\frac{1}{3}}\]. Its value is \[-9/4\].