ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


Passport to Advanced Math Videos 52 videos

Multiplying Polynomials to Find an Unknown Constant
3 Views

In the equation above, if a, b, and c are all constants, what is c?

Recognizing Polynomial Factors
5 Views

When x = 12, a certain polynomial, y, equals 0. Which of the following must be true about the polynomial y?

SAT Math 1.5 Algebra and Functions
218 Views

SAT Math 1.5 Algebra and Functions. If f (x) = x2 - 16 and g(x) = x4 - 256, what is f of x divided by g of x?

See All

SAT Math 5.2 Algebra and Functions 200 Views


Share It!


Description:

SAT Math 5.2 Algebra and Functions

Language:
English Language

Transcript

00:02

And here's your shmoop du jour...

00:04

If g(n) = 4n squared - 9 and h(n) = the square root of n,

00:10

what is g of h of n?

00:14

Here are the possible answers...

00:18

g of h of n? No, those parentheses aren't just there to distract us.

00:26

Actually, they tell us we're working with composite functions.

00:30

To solve this problem, we need to plug h of n in for the n in the g of n equation:

00:37

to get 4 times the square root of n squared minus 9.

00:40

The square root of n squared simplifies to n...

00:44

so our equation becomes g of h of n equals 4n minus 9.

00:49

Looks like our answer's B.

Related Videos

SAT Math 2.1 Geometry and Measurement
2779 Views

SAT Math 2.1 Geometry and Measurement. What is the measure of angle z in terms of x and y?

SAT Math 9.4 Algebra and Functions
1300 Views

SAT Math 9.4 Algebra and Functions

SAT Math 9.2 Algebra and Functions
377 Views

SAT Math 9.2 Algebra and Functions

SAT Math: Identifying an Equation for the Average of Two Percentages
23 Views

In 2014, the unemployment rate of one county in California was 7%. In another county, the unemployment rate was 11%. Which of the following express...

SAT Math: Which Equation Represents Profit?
13 Views

Angela is making cookies for a bake sale. She expects each batch of her cookies to sell for $40. It costs her $10 to make one batch of cookies, and...