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

question 4

Short Answer

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

---

Definitions:

Social Darwinism

A theory that applies the concept of "survival of the fittest" from evolutionary biology to societies, justifying inequalities and promoting competition.

Evolutionary Theory

A scientific explanation for the diversity of life on Earth, proposing that species change over time through processes like natural selection and genetic mutation.

DNA Molecule

The molecule carrying the genetic instructions used in the growth, development, functioning, and reproduction of all known living organisms and many viruses.

Control Sequences

Instructions or steps designed to manage or regulate the operation of a system or process, often used in programming and engineering.