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ACT Math 5.1 Intermediate Algebra 262 Views
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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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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...