ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


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...

Introduction to Functions
17460 Views

This video will tell you all about the function of functions.

Function Rules, Tables, and Graphs
2005 Views

Looking to find function formulas from tables? We've got all you need, right here in this video.

See All

ACT Math 5.3 Intermediate Algebra 299 Views


Share It!


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.

Related Videos

ACT Math 3.1 Plane Geometry
2559 Views

ACT Math: Plane Geometry Drill 3, Problem 1. What is the area of the trapezoid shape in the video?

Inequalities in Number Lines
3230 Views

ACT Math: Coordinate Geometry Drill 1, Problem 1. Which inequality is expressed by the number line?

ACT Math 3.1 Intermediate Algebra
1955 Views

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

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...