3 years ago

Provide a counterexample that shows the statement is false? All whole numbers are even.

1 answer:

5 0

Counterexample is an example with a negative connotation. Whereas an example may be used to support or illustrate a claim, a counterexample is used to refute an assertion.

Statement: All whole numbers are even.

Counterexample: Consider numbers 3, 5, 7, 9, 11, 13, 15, 17, 19, 21,.... These numbers are whole numbers, but not even numbers.

You give an example of whole numbers that are not necessarily even.

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Find inverse of f(x)=x^3-9 Not sure of my answer!

Katyanochek1 [597]

as you may already know, to get the inverse of any expression, we start off by doing a quick switcheroo on the variables, and then solve for "y".

$\bf \stackrel{f(x)}{y}=x^3-9\implies \stackrel{\textit{quick switcheroo}}{\underline{x}=\underline{y}^3-9}\implies x+9=y^3\implies \sqrt[3]{x+9}=\stackrel{f^{-1}(x)}{y}$