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Questions › JNU › JNU SSS 2011 › Q58
1 mark, −0.25Mathematics › Sets, relations and functions › Functions: domain, range and compositionModerateabout 1 min

JNU SSS 2011 Question 58: Sets, relations and functions

Functions ggg and hhh are given by g(x)=(x−1)g(x) = \sqrt{(x - 1)}g(x)=(x−1)​ and h(x)=x2+1h(x) = x^2 + 1h(x)=x2+1. The composite function (g∘h)(x)(g \circ h)(x)(g∘h)(x) is given by

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Functions g and h are given by g(x) = √((x - 1)) and h(x) = x² + 1. The composite function (g ∘ h)(x) is given by (A) x (B) |x| (C) √x (D) None of the above

Also written as: Functions g and h are given by g(x) = sqrt((x - 1)) and h(x) = x^2 + 1. The composite function (g o h)(x) is given by

Sets, relations and functions has come up 65 times in 6 exams since 2004.

What this question tests

This question is on Functions: domain, range and composition, part of Sets, relations and functions in Mathematics.

What makes a rule a function, its domain and range, composition and graph transformations.

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Question from the JNU SSS 2011 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.