1. so it has to have every x is one y and every y has one x
graph them
we see that the only ones that are one to one are the first one, the 2nd one and the 4th one
2.
solve for x and replace with f⁻¹(x) and y with x
minus 8 and cube both sides
(y-8)³=x-2
add 2
(y-8)³+2=x
replace
f⁻¹(x)=(x-8)³+2
first one
3.
this is a one to one function because theer is no vertical line that could intersect the graph more than once
ah, I see, you're program has a different one to one definition, no horizontal or vertical line can cross, lemme edit te first question again
answer is 2nd option
4. a neat trick is this:
the domain of f(x) is the range of f⁻¹(x)
the range of f(x) is the domain of f⁻¹(x)
the domain of f(x)=1/(3x+2)
hmm, can't divide by 0 so set denomenator to 0
3x+2=0
3x=-2
x=-2/3
domain is all real numbers except -2/3
(-infinity,-2/3)U(-2/3,infinity)
that's the range of f⁻¹(x)
range
ok, hmm, range is from positive initny to 0 then from 0 to positive inifnty, not including 0
so the domain of f⁻¹(x) is (-∞,0)U(0,∞)
range of f⁻¹(x) is (-∞,-2/3)U(-2/3,∞)
first option
The yield on the corporate bond of a face value of $1000 is 7.77%.
What is the percentage discount?
The percentage discount is the discount given on a product as compared to the given discount on 100 rupees.
Given, the face value of the bond is $1000.
Discounted price of the bond is $900.
Therefore, the fixed interest on the bond for that period will be
= $1000 × 7/100 = $70.
Now, the yield on that corporate bond = 70 × 100/900 % = 7.77% .
Hence, the yield on the corporate bond of a face value of $1000 is 7.77%.
Learn more about percentage discount here:
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I think yes he did in ball rolling in throw the ball 5_t+7t. yes maybe in be ball player in won
Answer:
Yes
Step-by-step explanation:
The form of a direct variation equation is
y = kx ← k is the constant of variation
Given
3y = 18x ( divide both sides by 3 )
y = 6x ← equation of direct variation
with k = 6