Let and . Calculate , if it…

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Let f(x)=2x−1x+3f(x)=\dfrac{2x-1}{x+3} and g(x)=ln⁡(x)g(x)=\ln(x). Calculate (g∘f)(2)(g\circ f)(2), if it exists. (a) ln⁡(53)\ln\left(\dfrac{5}{3}\right) (b) ln⁡(35)\ln\left(\dfrac{3}{5}\right) (c) 35\dfrac{3}{5} (d) ln⁡(15)\ln\left(\dfrac{1}{5}\right)

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