If-f-x-1-x-1-and-g-x-x-find-domain-and-range-of-g-f-x-

Question Number 92597 by john santu last updated on 08/May/20

If f (x) = \frac{1}{x - 1} and g (x) = \sqrt{x}

find domain and range of

g (f (x)) .

Commented by jagoll last updated on 08/May/20

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

D_{g (f (x))} \cap R_{f (x)} \neq \emptyset

x > 0 \Rightarrow 1 < x < \infty

R_{g (f (x))} > 0 \Rightarrow 0 < y < \infty

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