ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


Math III Videos 103 videos

ACT Math 1.5 Intermediate Algebra
490 Views

ACT Math Intermediate Algebra Drill 1, Problem 5. Can you simplify the expression?

ACT Math 2.1 Intermediate Algebra
462 Views

ACT Math Intermediate Algebra Drill 2, Problem 1. Solve the equation.

ACT Math 5.4 Intermediate Algebra
787 Views

ACT Math: Intermediate Algebra: Drill 5, Problem 4. Which expression is equivalent?

See All

ACT Math 5.3 Intermediate Algebra 382 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
2627 Views

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

Inequalities in Number Lines
3311 Views

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

ACT Math 3.1 Intermediate Algebra
2002 Views

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

Piecewise Functions
6220 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
5403 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...