# If the point (10, 12) is on the graph of the function y = f(x), what point must be on the graph of y = -2f^-1(-x)+1?

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- PopeLv 71 month agoFavourite answer
f(10) = 12

f⁻¹(12) = 10

f⁻¹[-(-12)] = 10 ... if f⁻¹ exists

-2f⁻¹[-(-12)] = -20

-2f⁻¹[-(-12)] + 1 = -19

-19 = -2f⁻¹[-(-12)] + 1

The point (-12, -19) satisfies y = -2f⁻¹(-x) + 1.

Again, this depends on function f actually having an inverse, and that was not given.

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