Let be defined by and by

MATHEMATICS · Subjective · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Let

f:\mathbb R\to\mathbb R

be defined by

f(x)=2x+3

and

g:[1,\infty)\to\mathbb R

by

g(x)=\sqrt{x-1}

. Find the domain of the composition

g\circ f

.

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