Question 673326
Solve for x then substitute x for the y variable.
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f(x) = {{{(-9x+1)/(-4x+6)}}}
y = {{{(-9x+1)/(-4x+6)}}}
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Multiply both sides by (-4x+6) to be rid of the fraction
(-4x+6)y = -9x+1
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Distribute y
-4xy + 6y = -9x + 1
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Isolate the x variable on one side
-4xy + 9x = 1 - 6y
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Factor out the x variable
x(-4y + 9) = 1 - 6y
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Divide both sides by (-4y+9) to isolate x
{{{x = (1-6y)/(-4y+9)}}}
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{{{f^-1}}} = {{{(1-6x)/(-4x+9)}}}


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