Find a Function $g$ That Agrees With $f$ For $x \neq 25$ And Is Continuous On

question 160

Short Answer

Find a function $g$ that agrees with $f$ for $x \neq 25$ and is continuous on $\mathfrak { R }$ .
$$f ( x ) = \frac { 5 - \sqrt { x } } { 25 - x }$$

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Definitions:

Dollar-Weighted

A method of calculating investment returns that accounts for the timing and amount of cash flows into and out of the investment.

Time-Weighted

A method for calculating investment returns that eliminates the impact of cash flows into and out of the portfolio, focusing on the manager's ability to select securities.

Pension Fund

A pool of assets forming an investment plan that provides retirement income to employees.

Year

A period of time consisting of 365 days, or 366 in a leap year, used as a measure of time for calendars, age, and time intervals.