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Functions Videos 43 videos

Piecewise Functions
6148 Views

Don’t even think about starting up your combo lemonade/fro-yo stand without first making sure you understand piecewise functions. You’re just a...

Domain and Range
5384 Views

Domain and range: two terms you will learn to love (or hate with a vengeance). The domain is the set of all possible x values, and range is the set...

Functions as Models
730 Views

Functions briefly flirted with the idea of being infomercial hosts, but they didn’t shine when talking on-camera. They’re much better off in th...

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ACT Math 5.3 Intermediate Algebra 299 Views


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Description:

ACT Math: Intermediate Algebra: Drill 5, Problem 3. What does f(g(-1)) equal?

Language:
English Language

Transcript

00:02

Here's an unshmoopy question you may find on an exam somewhere in life...

00:06

If f of x equals 1 over x plus 1, and g of x equals x squared, what does f of g of negative 1 equal?

00:13

And here are the potential answers...

00:19

It's asking us about composite functions.

00:25

When we solve for f of g of negative 1, we're basically trying to find the result of g of

00:31

-1 when sent through the function f of x.

00:36

g of negative 1 is just negative 1 squared...or 1.

00:41

This gives us f of 1... with 1 as our new x value. 1 over 1 plus 1 equals 1/2.

00:50

So the answer is D.

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