Which function is the inverse of f(x)=7/(x-2) for x is not equal to 2

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asked Feb 1, 2024 225k views

1 Answer

Roman Yakubovich · Answer 1 · 2024-02-05T17:00:06+0000

f^-1(x)= (2x-7)/x

7/(y-2)=x (swap sides)
7=(y-2)x (multiply the x)
7=xy-2x (subtract the xy and and 7)
-xy=-2x-7 (divide by -x)
y=(-2x-7)/-x (simplify)
y=(2x-7)/x (change y to f^-1(x) )

Which function is the inverse of f(x)=7/(x-2) for x is not equal to 2

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