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kiruha [24]
3 years ago
5

Given the function f(x) = 3x, find the value of f−1(81).

Mathematics
1 answer:
Shalnov [3]3 years ago
4 0
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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Answer:

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Step-by-step explanation:

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d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2

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3 years ago
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Step-by-step explanation:

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4 0
3 years ago
Simplify the expression 2+3i/4+3i <br> Please help
rjkz [21]

Answer:

17+6i

-----------

25

Step-by-step explanation:

2+3i

---------

4+3i


We want to multiply by the complex conjugate of the denominator

4+3i has a complex conjugate of 4-3i

2+3i             4-3i

--------- * --------------

4+3i           4-3i


Lets multiply the numerator

(2+3i) ( 4-3i)

2*4 +4*3i -3i*2 - 3i*3i =

8 +12i -6i - 9i^2

Remember i^2 = -1

8 +6i -9(-1)

17 +6i


Lets multiply the denominator

(4+3i) ( 4-3i)

4*4 +4*3i -3i*4 - 3i*3i =

16 +12i -12i - 9i^2

Remember i^2 = -1

16 -9(-1)

25

Putting numerator over denominator

17+6i

-----------

25

7 0
3 years ago
What is the decimal equivalent of 1/3?
In-s [12.5K]

Answer: C.  0.3

Step-by-step explanation:

<em>To convert 1/3 so you can write it as a decimal, simply divide the numerator by the denominator, like this:</em>

<em></em>

<em>= 1/3</em>

<em>= 1 ÷ 3</em>

<em>≈ 0.3333333</em>

<em></em>

<em>Therefore, the solution to 1/3 as a decimal is as follows:</em>

<em></em>

<em>1/3 ≈ 0.3333333</em>

7 0
2 years ago
Read 2 more answers
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