ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
Math II Videos 98 videos
This video covers both independent and dependent events, although we much prefer independent events. Dependent events are just so dang clingy.
Disjoint events are events that cannot happen at the same time. If one happens, the other doesn't. Simple as that. Overlapping events, on the other...
SAT Math 1.1 Numbers and Operations. How many combinations of beverage and cereal can be made?
ACT Math 5.1 Intermediate Algebra 367 Views
Share It!
Description:
ACT Math: Intermediate Algebra: Drill 5, Problem 1. What does g(f(x)) equal?
- Intermediate Algebra / Functions
- Product Type / ACT Math
- Foreign Language / Arabic Subtitled
- Foreign Language / Korean Subtitled
- Foreign Language / Spanish Subtitled
- Foreign Language / Chinese Subtitled
- Functions / Understand the concept of a function and use function notation
- Functions / Understand the concept of a function and use function notation
- Functions / Build new functions from existing functions
- Functions / Build new functions from existing functions
- Functions / Understand the concept of a function and use function notation
- Functions / Build new functions from existing functions
- Functions / Build new functions from existing functions
- Intermediate Algebra / Functions
Transcript
- 00:02
We suggest you take the math of least resistance...
- 00:06
If f of x equals 1 over x plus 1, and g of
- 00:10
x equals x squared, what does g of f of x equal?
- 00:15
And here are the potential answers...
- 00:19
Okay well, It's asking us about composite functions, or what the result of f of x is when sent
Full Transcript
- 00:25
through g of x.
- 00:27
Basically, we can substitute "1 over x plus 1" as f of x... to get g of 1 over x plus 1.
- 00:36
Our new "x" is 1 over x plus 1, so our new g of x will be the entire quantity 1 over
- 00:42
x plus 1 squared.
- 00:44
When simplified, we get 1 over x plus 1 squared...
- 00:48
So there you go. Boom! The answer is B.
Related Videos
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.
ACT Math: Plane Geometry Drill 3, Problem 1. What is the area of the trapezoid shape in the video?
We don't like knocking people down to size, but we do like simplifying radicals. Join us?
If fleeing criminals always fled the scene of the crime at perfect right angles, it would be much easier to determine their whereabouts. Fortunatel...