Mathematics: Inverse functions and calculations
Question: Determine the inverse of the function: ℎ(𝑥) = 2𝑥−3/(1−𝑥) Solution and steps followed Answers: f-1 (x)= x+3 2+x Work: we replace h(x) with y, y= 2x-3 1-x We then swap the y for x, x = 2y–3 1-x Solve for y, x(1–y) = 2y–3 x-xy= 2y–3 2y+xy = x +3. […]
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