Consider the following, what value(s) of x is g(f(x)) undefined? Explain by making reference to the algebraic properties.

Question

If f(x) = log x – 4 and g(x) = , for what value(s) of x is g(f(x)) undefined? Explain by making reference to the algebraic properties.

Grade 12 Advanced Functions

Please answer clearly and neatly. Thanks :)

Answer 1

g(f(x)) = 1 / (log x - 4 + 4)

g(f(x)) = 1 / log x

For which value(s) of x is log x = 0?