The inverse of the given function 3x - 12 is determined as f⁻¹(x) = x/3 + 4.
<h3>
What is inverse of a function?</h3>
An inverse of a function is a function that serves to replace another function.
That is, if f(x) produces y, then putting y into the inverse of f produces the 0ut-put x .
Thus, an inverse function or an anti function is defined as a function, which can reverse into another function.
The inverse of the given function; f(x)= 3x − 12 is calculated as follows;
y = 3x - 12
replace y with x and x with y as shown below;
x = 3y - 12
now, solve for y
x + 12 = 3y
divide both sides of the equation by 3
x/3 + 12/3 = 3y/3
x/3 + 4 = y
f⁻¹(x) = x/3 + 4
Thus, the inverse of the given function 3x - 12 is determined as f⁻¹(x) = x/3 + 4.
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The complete question is written below:
find the inverse of the function, f(x) = 3x - 12
Or means not both
if people study both then the number of people studying either french or spanish is 7 less than the total number of peple studig french and spanish because thoe 7 are common to both groups
9+14=total=23
23-7=16 people studing either
proabblity=desiredoutcmes/totalpossibe
desired=16
total=30
so 16/30=8/15 is the probablity
Answer:
The correct answer would be 6.5. because you would round 6 1/2 into 6.5. Also be sure when you are multiplying you have a mixed number.
Step-by-step explanation:
Answer: (0.24 - 1.96*0.019, 0.24 + 1.96*0.019)
Step-by-step explanation:
We know that the confidence interval population proportion (p) is given by :-
, where 
= sample proportion.
z* = Critical value (Two -tailed)
SE = standard error
Given : In 2012, about 24% of high-school seniors reported binge drinking (defined as five or more drinks in a row in the past two weeks), a substantial drop since the late 1990s.
SE = 0.019
Significance level =
Two-tailed value corresponds for 
:
z*=1.96 [Using z-table]
Now, the 95% confidence interval for the proportion of high-school seniors in the sample who would report binge drinking will be :-
Hence, the correct answer = (0.24 - 1.96*0.019, 0.24 + 1.96*0.019)
