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algol [13]
3 years ago
6

Given the function f(x) = log2(x + 6), find the value of f−1(3).

Mathematics
2 answers:
Svetlanka [38]3 years ago
8 0

Answer:

f^{-1}(3)=2 is correct

Step-by-step explanation:

Given the function f(x) = \log_2(x + 6)

We need to find f^{-1}(3)

First we find the inverse of the function

y= \log_2(x + 6)

Switch x and y

x= \log_2(y + 6)

Solve for y

2^x=y + 6

y=2^x-6

\therefore, f^{-1}(x)=2^x-6

Put x=3

f^{-1}(3)=2^3-6\Rightarrow 8-6=2

Thus, f^{-1}(3)=2 is correct

Lina20 [59]3 years ago
5 0
The first answer choice is your answer :)
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If a student answer 67 exam questions correctly out of 100,what fraction and what personage of question did the students answers
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Answer:

A and D

Step-by-step explanation:

67 right out of 100 for the fraction and 67/100 = 67%

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2 years ago
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What is the solution to the system x+ y =4 and 2x - y = -1
Lostsunrise [7]

Answer:

Step-by-step explanation:

hello :

the system is :  x+ y =4 ...(*)

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add(*) and (**) : 3x=3    so : x=1

put this value into (*) : 1+y=4     so : y=3

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4 0
3 years ago
Genevieve wants to verify that }(5x-20)-(4x-8) is equivalent to x. Which procedure can Genevieve follow to determine if
Gnom [1K]

They aren't equivalent

<h2>Explanation:</h2>

In order to determine whether the expression:

(5x-20)-(4x-8)

is equivalent to:

x

Genevieve needs to follow these steps:

Step 1. Get rid parentheses

5x-20-4x+8

Step 2. Combine like terms

5x-4x-20+8

Step 3. Solve

x-12

So:

x\neq x-12

Therefore, these two expressions aren't equivalent.

<h2>Learn more:</h2>

Writing expressions: brainly.com/question/13894833#

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4 0
3 years ago
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If AB = 8 and BC = 24, then AC =<br><br> If AB = 17 and AC = 68, then BC =
Kryger [21]

Answer:

(i) The length of AC is 32 units, (ii) The length of BC is 51 units.

Step-by-step explanation:

(i) Let suppose that AB and BC are collinear to each other, that is, that both segments are contained in the same line. Algebraically, it can be translated into this identity:

AC = AB + BC

If we know that AB = 8 and BC = 24, then:

AC = 8 + 24

AC = 32

The length of AC is 32 units.

(ii) Let suppose that AB and AC are collinear to each other, that is, that both segments are contained in the same line. Algebraically, it can be translated into this identity:

AC = AB + BC

BC = AC - AB

If we know that AC = 68 and AB = 17, then:

BC = 68-17

BC = 51

The length of BC is 51 units.

6 0
3 years ago
Please help me thanks.
daser333 [38]

y=(-2x)+5

Step-by-step explanation:

4 0
2 years ago
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