Functions  Summary and Q&A
TL;DR
This content provides solutions to algebraic function problems, including calculating values, finding inverse functions, determining domains, and identifying onetoone functions.
Questions & Answers
Q: How do you calculate the value of f(2) using the given function?
To calculate the value of f(2), substitute x with 2 in the function and simplify.
Q: How do you find the inverse function of a given function?
To find the inverse function, replace f(x) with y, switch x and y, and solve for y.
Q: What is the value of x when f(x) equals 15?
Substitute f(x) with 15, rearrange the equation, factorize, and solve for x.
Q: How do you determine if two functions are inverses of each other?
To prove that f(x) and g(x) are inverses, show that f(g(x)) and g(f(x)) both equal x.
Q: Which functions pass the vertical line test?
Functions that pass the vertical line test have only one point of intersection with any vertical line.
Q: Which function is not a onetoone function?
The function that fails the horizontal line test, meaning it intersects a horizontal line at more than one point, is not a onetoone function.
Q: How do you find the value of y in the function f(4, y) = 48?
Substitute x with 4 in the function, simplify the equation, and solve for y.
Q: What is the domain of f divided by g?
The domain of f divided by g is all real numbers except the values that make the denominator equal to zero.
Summary & Key Takeaways

Calculation: Calculate the value of f(2) using the given function f(x).

Inverse Function: Find the inverse function of the given function f(x).

Value of x: Determine the value of x when f(x) equals 15.