ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
Algebra II Videos 107 videos
ACT Math Pre-Algebra: Drill 3, Problem 4. Find the solution to this equation.
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...