The compound inequality 8.00 ≤ x < 9.50 represents all values, x, for which college students are paid hourly as teacher assis
2 answers:
Answer: x≥ 8.00 and x < 9.50 is the correct option.
Step-by-step explanation:
Since, given expression 8.00 ≤ x < 9.50
Where x is the value for which college students are paid hourly as teacher assistants.
so, x is greater than or equal to 8.00
Therefore,
And, x is less than 9.50
Therefore, x < 9.50
On combining both expression we get, and
.
Thus, Third Option is correct.
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For a given function f(x) we define the domain restrictions as values of x that we can not use in our function. Also, for a function f(x) we define the inverse g(x) as a function such that:
g(f(x)) = x = f(g(x))
<u>The restriction is:</u>
x ≠ 4
<u>The inverse is:</u>
Here our function is:
We know that we can not divide by zero, so the only restriction in this function will be the one that makes the denominator equal to zero.
(x - 4)^2 = 0
x - 4 = 0
x = 4
So the only value of x that we need to remove from the domain is x = 4.
To find the inverse we try with the general form:
Evaluating this in our function we get:
Remember that the thing above must be equal to x, so we get:
From the two above equations we find:
b = 11
a = 4
Thus the inverse equation is:
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