## Related questions with answers

Question

Determine whether the function has an inverse (is one-to-one). If so, find the inverse and graph both the function and its inverse. $f(x)=x^{4}-2 x-1$

Solution

VerifiedStep 1

1 of 2On plotting the given function $f(x)=x^4-2x-1$ on Desmos, we see that it does not pass the horizontal line test, i.e. there exists a horizontal line which intersects $f(x)$ at two or more distinct points. $\implies$ not one-one $\implies$ inverse doesn't exist.

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