tmua.me Medium Set D Paper 1 · Question 2

tmua.me papers

tmua.me Medium Set D Paper 1 · Q2

Paper 1Functions & graphs

The functions $f$ and $g$ are given by

f(x)=\sqrt{x-1},\qquad g(x)=\frac1{x-3},

where each function is defined wherever its formula has a real value.

Which of the following describes all real values of $x$ for which $f(g(x))$ is defined?

x<3

x\geq4

3<x\leq4

3<x<4

3\leq x\leq4

x\leq4

, with

x\ne3

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