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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 5.4 Algebra and Functions 291 Views
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Description:
SAT Math 5.4 Algebra and Functions
- Algebra and Functions / Solving Quadratic Equations by Factoring
- Product Type / SAT Math
- Functions / Build new functions from existing functions
- Functions / Build new functions from existing functions
- Algebra / Write expressions in equivalent forms to solve problems
- Algebra / Write expressions in equivalent forms to solve problems
- Algebra / Write expressions in equivalent forms to solve problems
- Functions / Build new functions from existing functions
- Functions / Build new functions from existing functions
- Passport to Advanced Math / Quadratic and exponential functions (word problems)
Transcript
- 00:02
Gettin' shmoopy with it...
- 00:04
If g of x = the square root of x - 1 to the fourth...what is g of x + 1?
- 00:09
And here are the potential answers...
- 00:14
We're working with composite functions, so all we have to do for this is replace the
- 00:19
instances of x in the first equation with x + 1.
Full Transcript
- 00:24
g of x + 1 = the square root of x + 1 - 1 all to the fourth.
- 00:33
Using the order of operations, we have to deal with the inside of the parentheses first...
- 00:40
So we get, x + 1 - 1 = just x.
- 00:44
So the square root of x to the 4th is just...x squared.
- 00:49
Looks like our answer's A.
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