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Functions Videos 17 videos

GED Math 5.3 Graphs and Functions
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GED Math Graphs and Functions Drill 5, Problem 3. How many more kilowatts is Kristoph's oven rated compared to his air conditioner?

SAT Math 6.1 Algebra and Functions
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SAT Math 6.1 Algebra and Functions

SAT Math 1.2 Algebra and Functions
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SAT Math: Algebra and Functions Drill 1, Problem 2. Based on the data in the table, what is the maximum heart rate for the average 22-year-old?

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ACT Math 5.1 Intermediate Algebra 261 Views


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Description:

ACT Math: Intermediate Algebra: Drill 5, Problem 1. What does g(f(x)) equal?

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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

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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