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
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Number 1.
, first we will take the of both of these numbers getting us,
, which then gives us that
Number 2
, solve for our exponent, , use the logarithmic formula, and we get,
, which then we get that
To check for divisibility by 3 just check if the sum of all the digits in the number are divisible by 3. If so, the number itself must also be divisible by 3. For example, is 1,529 divisible by 3? Well, the sum of the digits of 1,529 is 1+5+2+9=17. Since 17 is not divisible by 3, we can conclude that 1,529 is also not divisible by 3. How about 1,530? Well, this time the sum is 1+5+3+0=9. Since 9 is divisible by 3, we know that 1,530 is divisible by 3 too.