Question
Find a domain on which each function $f$ is one-to-one and non-decreasing. Write the domain in interval notation. Then find the inverse of $f$ restricted to that domain.$$f(x)=x^{2}-5$$
Step 1
The function $f(x)=x^{2}-5$ is a parabola that opens upwards. It is symmetric about the y-axis, and it is increasing for $x \geq 0$. Therefore, the domain where the function is one-to-one and non-decreasing is $[0, \infty)$. Show more…
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For each function, find a domain on which $f$ is one-to-one and non-decreasing, then find the inverse of $f$ restricted to that domain. $$ f(x)=x^{2}-5 $$
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For the following exercises, find a domain on which each function $f$ is one-to-one and non decreasing. Write the domain in interval notation. Then find the inverse of $f$ restricted to that domain. $$ f(x)=x^{2}-5 $$
For the following exercises, find a domain on which each function $f$ is one-to-one and non-decreasing. Write the domain in interval notation. Then find the inverse of $f$ restricted to that domain. $$ f(x)=x^{2}-5 $$
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