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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 8.1 Algebra and Functions 3277 Views
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Description:
SAT Math 8.1 Algebra and Functions
Transcript
- 00:02
A little birdy told us you wanted to solve a shmoopy problem...so, tweet tweet.
- 00:07
In a sequence, each number is five less than the square of the previous number.
- 00:12
If the first number is 2, what is the fourth number?
- 00:18
All right – we’re told that we’re dealing with a sequence…and we know the pattern:
- 00:23
each number is five less than the square of the previous number.
Full Transcript
- 00:26
So let’s start with the first number…
- 00:28
To find the second term, we have to square 2…which gives us 4, and then take 5 less
- 00:33
than that…4 minus 5 gives us NEGATIVE 1 as the second term.
- 00:38
Third term. Again, we square negative 1… which gives us 1.
- 00:42
Then we subtract 5 to give us NEGATIVE 4.
- 00:45
Fourth term…which is what we’re looking for. Negative 4 squared gives us 16.
- 00:50
Then subtract 5 is 11.
- 00:52
Fourth number is 11…and we’ve got our answer.
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