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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...
ACT Math: Intermediate Algebra: Drill 5, Problem 1. What does g(f(x)) equal?
SAT Math 5.2 Algebra and Functions 200 Views
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Description:
SAT Math 5.2 Algebra and Functions
- Functions / Function Notation
- Product Type / SAT Math
- Functions / Analyze functions using different representations
- Functions / Analyze functions using different representations
- Functions / Analyze functions using different representations
- Functions / Analyze functions using different representations
- Functions / Analyze functions using different representations
- Passport to Advanced Math / Quadratic and exponential functions (word problems)
Transcript
- 00:02
And here's your shmoop du jour...
- 00:04
If g(n) = 4n squared - 9 and h(n) = the square root of n,
- 00:10
what is g of h of n?
- 00:14
Here are the possible answers...
- 00:18
g of h of n? No, those parentheses aren't just there to distract us.
Full Transcript
- 00:26
Actually, they tell us we're working with composite functions.
- 00:30
To solve this problem, we need to plug h of n in for the n in the g of n equation:
- 00:37
to get 4 times the square root of n squared minus 9.
- 00:40
The square root of n squared simplifies to n...
- 00:44
so our equation becomes g of h of n equals 4n minus 9.
- 00:49
Looks like our answer's B.
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