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SAT Math 1.5 Algebra and Functions. If f (x) = x2 - 16 and g(x) = x4 - 256, what is f of x divided by g of x?
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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