The inverse relation of the function f(x)=1/3x*2-3x+5 is f-1(x) = 9/2 + √(3x + 21/4)
<h3>How to determine the inverse relation?</h3>
The function is given as
f(x)=1/3x^2-3x+5
Start by rewriting the function in vertex form
f(x) = 1/3(x - 9/2)^2 -7/4
Rewrite the function as
y = 1/3(x - 9/2)^2 -7/4
Swap x and y
x = 1/3(y - 9/2)^2 -7/4
Add 7/4 to both sides
x + 7/4= 1/3(y - 9/2)^2
Multiply by 3
3x + 21/4= (y - 9/2)^2
Take the square roots
y - 9/2 = √(3x + 21/4)
This gives
y = 9/2 + √(3x + 21/4)
Hence, the inverse relation of the function f(x)=1/3x*2-3x+5 is f-1(x) = 9/2 + √(3x + 21/4)
Read more about inverse functions at:
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Find the total of oranges
total = 16 × 185
total = 2960
Find how many packs
pack = 2960/5
pack = 592
There are 592 packs of oranges
Answer:
DE = 5
BC = 10
Step-by-step explanation:
ΔAED is a right triangle with legs of 4 and 6/2 = 3
Use the Pythagorean theorem to find DE
16 + 6 = 25 = 
DE = 5
The midsegment of a triangle is 1/2 the length of the corresponding side.
Therefore, BC = 2 DE = 2(5) = 10 = BC
There is a 1:10 chance of the needle landing on 9.
He went 41 miles altogether, because 10+30+1=41
