1.If functions f(x)f(x)f(x) and g(x)g(x)g(x) are defined on R→R\mathbb{R} \to \mathbb{R}R→R such thatf(x)={x+3,x∈Q4x,x∉Qf(x)=\begin{cases} x+3, & x \in \mathbb{Q} \\ 4x, & x \notin \mathbb{Q} \end{cases}f(x)={x+3,4x,x∈Qx∈/Qg(x)={x+5,x∉Q−x,x∈Qg(x)=\begin{cases} x+\sqrt{5}, & x \notin \mathbb{Q} \\ -x, & x \in \mathbb{Q} \end{cases}g(x)={x+5,−x,x∈/Qx∈Qthen (f−g)(x)(f-g)(x)(f−g)(x) isa.one-one and ontob.neither one-one nor ontoc.one-one but not ontod.onto but not one-oneLogin to continueOnly logged in users canattempt or see the solution.
