Given g of x equals cube root of the quantity x minus 3, on what interval is the function positive?
1 answer:
Using translation concepts, it is found that g(x) is positive on the following interval:
(3, ∞)
<h3>What is a translation?</h3>A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
Function is a shift right of 3 units of
, which is positive on the interval (0, ∞), hence g(x) is positive on the interval (3, ∞).
More can be learned about translation concepts at brainly.com/question/4521517
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Answer:
f(x) = 3 + 2
Step-by-step explanation:
Given G(x) =
As we can see, the graph of f(x) is 2 units above the graphof g(x) in vertical (vertical shift)
=> f(x) = a + 2
As you can see, the graph of f(x) is stretched vertically by a dilation factor of 3
and there is no reflection, so a= 3
=> the equation of f(x) is: f(x) = 3 + 2