The inverse function of the function f(x) will be f⁻¹(x) = 4x + 48. Then the correct option is D.
The complete question is attached below.
<h3>What is inverse of a function?</h3>
Suppose that the given function is
f: X → Y
Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is
f⁻¹: Y → X
It simply means, inverse of 'f' is an undo operator, that takes back the effect of 'f'
The function is given below.
f(x) = (1/4)x – 12
Then the inverse function of the function f(x) will be
(1/4)f⁻¹(x) - 12 = x
f⁻¹(x) = 4x + 48
Then the correct option is D.
Learn more about inverse function here:
brainly.com/question/19425567
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<h2>
Explanation:</h2><h2>
</h2>
The diagram for this problem is shown below. Point E is the intersection of the two diagonals and we know that:
Every internal angle of any rectangle measures 90 degrees, so:
So:
So the measure of angle BEC can be found as follows:
We know that triangle ΔCEB is an isosceles triangle because the diagonals of any rectangle measure the same. So
The sum of internal angles of any triangle add up to 180 degrees, so:
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➷ -2x + 3 < 5
Subtract 3 from both sides:
-2x < 2
Divide both sides by -2 to isolate x:
x = -1
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