ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos

ACT Math 5.1 Intermediate Algebra 261 Views


Share It!


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.

Up Next

Inequalities in Number Lines
3224 Views

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

Related Videos

ACT Math 3.1 Intermediate Algebra
1954 Views

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

ACT Math 3.1 Plane Geometry
2558 Views

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

Simplifying Radicals
9737 Views

We don't like knocking people down to size, but we do like simplifying radicals. Join us?

Arithmetic Math
2248 Views

If fleeing criminals always fled the scene of the crime at perfect right angles, it would be much easier to determine their whereabouts. Fortunatel...