Answer:
24
Step-by-step explanation:
36:45 = x:30
36 x 30 = 1080
1080/45 = 24
By applying the concept of transformation, the <em>transformed</em> function g(x) = √[(3/2) · x] is the consequence of applying a <em>stretch</em> factor of 3/2 on the <em>parent</em> function f(x) = √x.
<h3>How to compare two functions by concepts of transformation</h3>
In this question we have a <em>parent</em> function g(x) = √[(3/2) · x] and a <em>transformed</em> function f(x) = √x. Transformations are operations in which parent functions are modified in their relationships between inputs and outputs.
In this case, the difference between f(x) and g(x) occurred because of the application of a operation known as <em>vertical</em> stretch, defined below:
f(x) = g(k · x), k > 0 (1)
Where k is the <em>stretch</em> factor. There is a compression for 0 ≤ k < 1.
By applying the concept of transformation, the <em>transformed</em> function g(x) = √[(3/2) · x] is the consequence of applying a <em>stretch</em> factor of 2/3 on the <em>parent</em> function f(x) = √x. (Right choice: C)
To learn more on transformations: brainly.com/question/11709244
#SPJ1
