Answer :
Answer:
Dividing functions typically involves dividing one function by another. This can be done by dividing their algebraic expressions term by term. However, there are certain considerations to keep in mind, particularly when the divisor function might be zero for some values, leading to undefined results.
Here's a general step-by-step process:
Identify the functions: Determine the numerator function (the function being divided) and the denominator function (the function you're dividing by).
Write out the division: Express the division as a fraction, with the numerator function on top and the denominator function on the bottom.
Simplify, if possible: Simplify the expression by canceling common factors in the numerator and the denominator.
Identify restrictions: Identify any values of the variable for which the denominator function equals zero, as dividing by zero is undefined.
Consider asymptotes: If there are any vertical asymptotes in the denominator function, they will likely affect the behavior of the resulting function.
Evaluate and plot: After simplifying and considering restrictions, evaluate the resulting function and plot its graph if needed.
Step-by-step explanation:
