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
Here are 3 equivalent expressions that would represent the total number of pencils and pens in Karen's backpack.
1. 4p + 6
2. p+ p + p + p + 6
3. 6 + 4(p)
Each of these has four groups of p +6 represented.
Answer:
Step-by-step explanation:
Q1 Equation-----12n=384 where n is no. Of weeks
Solution ---- n=32
Q2 Equation-------36W=576
Solution --------W =16
Answer:
a. The given hypothesis test is right-tailed.
b. The P-value is 0.043633.
c. p-value ≥ α, therefore we accept H₀.
Step-by-step explanation:
Given information:
a.
Test statistic, z=1.71
Significance level, α=0.01
Testing claim is p>0.7.
Null hypothesis: 
Alternative hypotheses: 
Therefore the given hypothesis test is right-tailed.
b.
Significance level, α=0.01
Test statistic, z=1.71
The P-value for a right-tailed test, for a significance level of α=0.01 is 0.043633.
Therefore the P-value is 0.043633.
c.
If p-value < α, then we reject H₀.
If p-value ≥ α, then we accept H₀.
P-value is 0.043633.
α=0.01
Since p-value ≥ α, therefore we accept H₀.
10% of 450 is 45.
so to get the total number of weeks, we have to divide 1500 with 45
1500/45 which is 33.3 weeks or to round up, 34 weeks.
