Is -5 greater than -10
1 answer:
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I.
Given a function f with domain D and range R, and the inverse function
,
then the domain of is the range of f, and the range of is the domain of f.
II. We are given the function
,
the domain of f, is the set of all x for which
makes sense, so x is any x for which x-5
0, that is x≥5.
the range is the set of all values that f can take. Since f is a radical function, it never produces negative values, in fact in can produce any value ≥0
Thus the Domain of f is [5, ∞) and the Range is [0, ∞)
then , the Domain of is [0, ∞) and the Range of is [5, ∞)
III.
Consider
to find the inverse function
,
1. write f(x) as y:
2. write x in terms of y:
take the square of both sides
add 5 to both sides
3. substitute y with x, and x with
:
These steps can be applied any time we want to find the inverse function.
IV. Answer:
, x≥0
y≥0, where y are all the values that
can take
Remark: the closest choice is B
Given a function f with domain D and range R, and the inverse function
then the domain of
II. We are given the function
the domain of f, is the set of all x for which
the range is the set of all values that f can take. Since f is a radical function, it never produces negative values, in fact in can produce any value ≥0
Thus the Domain of f is [5, ∞) and the Range is [0, ∞)
then , the Domain of
III.
Consider
to find the inverse function
1. write f(x) as y:
2. write x in terms of y:
take the square of both sides
add 5 to both sides
3. substitute y with x, and x with
These steps can be applied any time we want to find the inverse function.
IV. Answer:
y≥0, where y are all the values that
Remark: the closest choice is B
Answer:
Option C. Marcelina spends less that the intended amount of money and buy the correct amount of corn
Step-by-step explanation:
<u><em>The complete picture of the question in the attached figure</em></u>
Let
x----> is the amount of white corn she buys
y ---> is the amount of yellow corn she buys
we know that
She needs to buy 50 kg of corn in total
so
----> equation A
She wants to spend $12 dollars total
so
----> equation B
The solution of the system of equations is the intersection point both graphs
The solution is the point (30,20)
That means
Marcelina needs to buy 30 kg of white corn and 20 kg of yellow corn
we have the ordered pair D(15.35)
That means
15 kg of white corn and 35 kg of yellow corn
therefore
Total kg of corn bought is
Total spend is
therefore
Marcelina spends less that the intended amount of money and buy the correct amount of corn
