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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.
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