To determine whether the inverse of a function is a function you can perform the horizontal line test.
1 answer:
Answer:
Step-by-step explanation:
If a horizontal line intersects the graph of a function in all places at exactly one point (the horizontal line test), the inverse of the function is also a function.
For example, the inverse of a hyperbola (like ƒ(x) =1/x) is a function, because every horizontal line intersects with the graph at exactly one point.
However, the inverse of a parabola (like ƒ(x) = x²) is not a function, because a horizontal line intersects with the graph at two points.
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Answer: 0.1
Step-by-step explanation:
Given : A Houston department store sampled 80 items sold in January and found that 8 of the items were returned.
In other words, sample size : <em>n</em>=1040
Number of items returned : <em>x</em>= 8
Let <em>p</em> be the proportion of items returned for the population of sales transactions at the Houston store.
As per sample , the sample proportion of items returned for the population of sales transactions at the Houston store is :
As we know that , <em>the sample proportion is the best estimate of the population proportion.</em>
Therefore,a point estimate of the proportion of items returned for the population of sales transactions at the Houston store is 0.1.
Find the value of 
Rewrite as
since sin(π/3) = √3/2
and sin(π-α) = -sinα
α is sin(π/3) of course
Rewrite as
since sin(π/3) = √3/2
and sin(π-α) = -sinα
α is sin(π/3) of course