Given the function f (x) = 3x, find the value of f-1 (81).
For this case, the first thing you should do is rewrite the function.
We have then:
y = 3 ^ x
From here, we clear the value of x:
log3 (y) = log3 (3 ^ x)
log3 (y) = x
Then, we rewrite the function again:
f (x) ^ - 1 = log3 (x)
Now, we evaluate the inverse function for x = 81:
f (81) ^ - 1 = log3 (81)
f (x) ^ - 1 = 4
Answer:
the value of f-1 (81) is:
f (x) ^ - 1 = 4
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Divide across and just bring down the numbers
30 divided by 3 = 10
3 divided by 3 = 1
10:1
It should be noted that the angle at the center of the circle is twice the angle at the circumference.
<h2>
Circle Theorem</h2>
It should also be noted that the angle in a semicircle is a right angle. Angles that are in the same segment are equal.
Furthermore, the opposite angle that is in a cyclic quadrilateral sum is 180°. The angle between the chord and the tangent is also equal to the angle in the alternate segment.
Learn more about circles on:
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