Given the functions f(x) = 2-x x+3 (x -3) and g(x) = 2 x-1 (x 1) find in the form .

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

Problem

Given the functions f(x)=2−xx+3(x≠−3)andg(x)=2x−1(x≠1)f(x) = \frac{2-x}{x+3} \quad (x \neq -3) \quad \text{and} \quad g(x) = \frac{2}{x-1} \quad (x \neq 1) find (f∘g)−1(f \circ g)^{-1} in the form ax+bcx+d\frac{ax + b}{cx + d} .

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