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Intermediate Algebra Videos 25 videos

ACT Math 4.2 Intermediate Algebra
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ACT Math: Intermediate Algebra Drill 4, Problem 2. What is the root of this equation?

ACT Math 1.3 Intermediate Algebra
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ACT Math Intermediate Algebra Drill 1, Problem 3. Can you find the value of a in this expression?

ACT Math 2.2 Intermediate Algebra
470 Views

ACT Math Intermediate Algebra Drill 2, Problem 2. How else can the expression be written?

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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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