Which function is the inverse of function f? f(x)=9x^-12
1 answer:
Answer:
¹²
Step-by-step explanation:
The given function is f(x) = 9x⁻¹²
To find the inverse of f(x) we will write the function in a equation form y = 9x⁻¹²
Now we will replace x from y and y from x
x = 9y⁻¹²
Then we will find the value of y
y⁻¹² =
y = ¹²
Now y will be replaced by f⁻¹(x)
f⁻¹(x) = ¹²
Therefore inverse of the function f(x) is f⁻¹(x) = ¹²
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Tthe inequality that describes this graph is y ≤ 1/3x - 4/3
<h3>How to determine the linear inequality represented by the graph?</h3>The graph that completes the question is added as an attachment
From the attached graph, we have the following points
(0, -1.3) and (3, -0.3)
The slope is calculated as:
m = (y2 - y1)/(x2 - x1)
Substitute the known values in the above equation
m = (-0.3 + 1.3)/(3 - 0)
Evaluate
m = 1/3
The equation is then calculated as:
y = m(x - x1) + y1
This gives
y = 1/3(x - 0) - 1.3
Evaluate
y = 1/3x - 4/3
From the graph, we have the following highlights:
- The line of the graph is a closed line
- The upper part is shaded
The first highlight above implies, the inequality can be any of ≥ and ≤
While the second highlight above implies, the inequality is ≤
Hence, the inequality that describes this graph is y ≤ 1/3x - 4/3
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