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MATHEMATICS · Multi-part · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Suppose f(x)=9−xf(x) = 9 - \sqrt{x} and g(x)=x2+4g(x) = x^2 + 4 . (1) a Find (f∘g)(x)(f \circ g)(x) and state its domain and range. (2) b Find (g∘f)(4)(g \circ f)(4) . (3) c Find (f∘f)(x)(f \circ f)(x) and state its domain and range.

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