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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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vladimir2022 [97]

Answer:

graph{3x+5 [-10, 10, -5, 5]}

x

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x

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−

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3

 

y

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=

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Explanation:

For a linear graph, the quickest way to sketch the function is to determine the  

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⋅

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Let's calculate the  

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Recall that with any function:  

y

intercepts where  

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=

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The opposite is also true: with any function  

x

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y

=

0

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=

0

, we get:

0

=

3

x

+

5

Let's now rearrange and solve for  

x

to calculate the  

x

intercept.

−

5

=

3

x

 

−

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3

=

x

Therefore, the  

x

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(

−

5

3

,

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.

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The graph of the function  

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graph{3x+5 [-10, 10, -5, 5]}



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2 years ago
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