# Functions | Summary and Q&A

763.7K views
February 3, 2018
by
The Organic Chemistry Tutor
Functions

## TL;DR

This content provides solutions to algebraic function problems, including calculating values, finding inverse functions, determining domains, and identifying one-to-one functions.

## Install to Summarize YouTube Videos and Get Transcripts

### 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 one-to-one function?

The function that fails the horizontal line test, meaning it intersects a horizontal line at more than one point, is not a one-to-one 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.