ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
Algebra and Functions Videos 140 videos
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...
SAT Math 2.1 Algebra and Functions 272 Views
Share It!
Description:
SAT Math 2.1 Algebra and Functions. What is g(h(4))?
- Functions / Translations
- Functions / Function Notation
- Product Type / SAT Math
- Functions / Build a function that model a relationship between two quantities
- Functions / Build functions that model a relationship between two quantities
- Functions / Build a function that models a relationship between two quantities
- Functions / Build a function that models a relationship between two quantities
- Passport to Advanced Math / Quadratic and exponential functions (word problems)
Transcript
- 00:01
getting schmoopy with it yeah if G of N equals four N squared minus nine and H [text on screen]
- 00:07
of N equals the square root of n what is the G of H of four and here the
- 00:15
potential answers ah the suspense okay there's a lot of info crammed into this
- 00:20
thing but really all we have to know is what G of H of four is notice the
- 00:26
excessive number of parentheses in this problem as always we start with the [colorful googly-eyed parenthesis]
Full Transcript
- 00:32
innermost set of parentheses H of four the problem tells us that H of any [formulas on screen]
- 00:37
number n is equal to the square root of n any number is equal to four so let's
- 00:44
plug in 4 for n the square root of four is two so if H of 4 is equal to two then
- 00:51
we can replace H of four with two in the equation our new equation is G of two
- 00:56
the problem tells us that G of n is equal to four N squared minus nine and
- 01:01
since we said that our new equation is G of two we can replace n with two the
- 01:07
four times two squared minus nine we get four times four which is equal to 16 16
- 01:13
minus 9 equals seven and were there C is our guy [answer C is circled]
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...