If f (x) = StartRoot 4 x + 9 EndRoot + 2, which inequality can be used to find the domain of f(x)? StartRoot 4 x EndRoot greater-than-or-equal-to 0 4 x + 9 greater-than-or-equal-to 0 4 x greater-than-or-equal-to 0 StartRoot 4 x + 9 EndRoot + 2 greater-than-or-equal-to 0

Step-by-step explanation:

"f (x) = StartRoot 4 x + 9 EndRoot + 2" should be written as

 "f(x) = sqrt(4x + 9) + 2.

Note that √(4x + 9) is a variation of the basic function y = √x, whose domain is [0, ∞ ).

The domain of f(x) = √(4x + 9) + 2 is found by taking the "argument" 4x + 9 of √(4x + 9) and setting it equal to "zero or greater:"

4x + 9 ≥ 0, or

4x ≥ -9, or

x ≥ -9/4

This is the domain of the given function f(x) = √(4x + 9) + 2.  So long as x is ≥ -9/4, the function f(x) will be defined.

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.  

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1