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If f(x)={x-3}{x-4}, then for what value of x is f^{-1}(x) undefined?

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The answer is explained in the photo below.

If f(x)={x-3}{x-4}, then for what value of x is f^{-1}(x) undefined?-example-1
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User Ivan Kinash
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Answer:f(x)=3x+2x−2

This function will be undefined only if the denominator is equals to 0. Because it will have an expression N(x)0 And we know that something divided by zero is undefined. Let's assume that the denominator is equals to 0

x−2=0

∴x=2

So, when x is equals to 2 the function is undefined.

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User Hilary
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