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Algebra I Videos 81 videos

Operations with Rational Expressions
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ACT Math 5.3 Intermediate Algebra 310 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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