Question

Which pair consists of examples of self-inverse functions?

Options

• \(f(x)=x+5\) and \(g(x)=x-7\)

• \(f(x)=x^2\) and \(g(x)=7x\)

• \(f(x)=\frac{5}{x}\) and \(g(x)=7-x\)

• \(f(x)=5x\) and \(g(x)=7+x\)

Answer 1

The listed examples are \(f(x)=\frac{5}{x}\) and \(g(x)=7-x\). Composing either function with itself returns \(x\), satisfying the self-inverse condition.