Given for all real and for

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

Problem

Given p(x)=4x−7p(x)=4x-7 for all real xx and r(x)=x2r(x)=x^{2} for x≥0x\ge 0, simplify p−1 ⁣(r−1(p(r(p−1(36))))).p^{-1}\!\bigl(r^{-1}(p(r(p^{-1}(36))))\bigr). Write the final numerical value.

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