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Playlist ACT® Intermediate Algebra 25 videos

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ACT Math 3.1 Intermediate Algebra
1955 Views

ACT Math: Intermediate Algebra: Drill 3, Problem 1. Find the fifth number in the series.

1
ACT Math 1.1 Intermediate Algebra
320 Views

ACT Math Intermediate Algebra Drill 1, Problem 1. What is the product of (a – 3)2?

2
ACT Math 1.2 Intermediate Algebra
695 Views

ACT Math Intermediate Algebra Drill 1, Problem 2. Find the product of (2a + 6)2.

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ACT Math 5.1 Intermediate Algebra 262 Views


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Description:

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

Language:
English Language

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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