The function is increasing on the interval (3, ∞)
<h3>Interval of a function</h3>
Given the rational function shown below
g(x) = -2√x-3
For the function to be a positive function, the value in the square root must be positive such that;
x - 3 = 0
Add 3 to both sides
x = 0 + 3
x = 3
Hence the interval where the function is increasing is (3, ∞)
Learn more on increasing function here: brainly.com/question/1503051
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Corresponding points are reflected over the y=x line, or otherwise, the coordinate values are switched!
So if the log function has point (1,2) on it, the exp function will have (2,1)
hope this helps
Sophia has $ 1912.03 left from last month's earnings
<u>Solution:</u>
Given, sophia earned $2,000 last month.
She used 35 of her earnings to pay her bills.
With the remaining money, she bought two shirts for $19.99 each and a pair of earrings for $12.99.
We have to find how much money does Sophia have left from last month's earnings
Now, we know that,
<em>Left money = earned money – used money</em>
= 2000 – (bills paid + 2 shirts cost + 1 pair of ear rings)
= 2000 – (35 + 2 x 19.99 + 12.99)
= 2000 – (35 + 39.98 + 12.99)
= 2000 – (87.97) = 1912.03
Hence, Sophia has $ 1912.03 left with her.
If the question is asking to multiply by the variables, it would be 3(-2)+5(-1) which is equal to -6 - 5.