ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
Math III Videos 103 videos
Approximately 874 people per day wonder what a unit rate is. If you're one of them, check out our video on unit rates and how to use them. (We just...
This video covers how to use cross products to solve for a missing number in a proportion by setting that proportion with a variable over the produ...
GED Math 2.4 Rational Numbers. Lucius's favorite restaurant is how many km from his home?
SAT Math 5.2 Algebra and Functions 200 Views
Share It!
Description:
SAT Math 5.2 Algebra and Functions
- Functions / Function Notation
- Product Type / SAT Math
- Functions / Analyze functions using different representations
- Functions / Analyze functions using different representations
- Functions / Analyze functions using different representations
- Functions / Analyze functions using different representations
- Functions / Analyze functions using different representations
- Passport to Advanced Math / Quadratic and exponential functions (word problems)
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.
Full Transcript
- 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. What is the measure of angle z in terms of x and y?
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...
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...