ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
Math II Videos 98 videos
ACT Math Pre-Algebra: Drill 3, Problem 4. Find the solution to this equation.
ACT Math 5.3 Intermediate Algebra 299 Views
Share It!
Description:
ACT Math: Intermediate Algebra: Drill 5, Problem 3. What does f(g(-1)) equal?
- Intermediate Algebra / Functions
- Product Type / ACT Math
- Foreign Language / Arabic Subtitled
- Foreign Language / Korean Subtitled
- Foreign Language / Chinese Subtitled
- Foreign Language / Spanish Subtitled
- Functions / Build new functions from existing functions
- Functions / Build new functions from existing functions
- Functions / Build new functions from existing functions
- Functions / Build new functions from existing functions
- Intermediate Algebra / Modeling
Transcript
- 00:02
Here's an unshmoopy question you may find on an exam somewhere in life...
- 00:06
If f of x equals 1 over x plus 1, and g of x equals x squared, what does f of g of negative 1 equal?
- 00:13
And here are the potential answers...
- 00:19
It's asking us about composite functions.
- 00:25
When we solve for f of g of negative 1, we're basically trying to find the result of g of
Full Transcript
- 00:31
-1 when sent through the function f of x.
- 00:36
g of negative 1 is just negative 1 squared...or 1.
- 00:41
This gives us f of 1... with 1 as our new x value. 1 over 1 plus 1 equals 1/2.
- 00:50
So the answer is D.
Related Videos
ACT Math: Plane Geometry Drill 3, Problem 1. What is the area of the trapezoid shape in the video?
ACT Math: Coordinate Geometry Drill 1, Problem 1. Which inequality is expressed by the number line?
ACT Math: Intermediate Algebra: Drill 3, Problem 1. Find the fifth number in the series.
Don’t even think about starting up your combo lemonade/fro-yo stand without first making sure you understand piecewise functions. You’re just a...
Domain and range: two terms you will learn to love (or hate with a vengeance). The domain is the set of all possible x values, and range is the set...