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Scrat [10]
3 years ago
9

Given the function f(x) = 0.5(3)x, what is the value of f−1(7)?

Mathematics
2 answers:
padilas [110]3 years ago
8 0

Answer:

The value of the given expression is:

2.402

Step-by-step explanation:

We are given a exponential function f(x) which is represented by:

f(x)=0.5\times 3^x

We are asked to find the value of the inverse function at 7.

i.e. we are asked to find:

f^{-1}(7)

In other words we may say that we are asked to find the value of x when f(x)=7.

i.e.

0.5\times 3^x=7\\\\3^x=\dfrac{7}{0.5}\\\\3^x=14\\\\x\log 3=\log 14\\\\x=\dfrac{\ln 14}{\ln 3}\\\\x=2.402

Hence, the value of f^{-1}(7) is:

2.402

Yuliya22 [10]3 years ago
5 0

Answer:

Step-by-step explanation:

The answer is 2.402.

i know this from taking the test

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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Lady bird [3.3K]

Answer:14

Step-by-step explanation:

Please be certain to use " ^ " to denote exponentiation:

3x^2 + 4x – 5, 7x^2 + x + 9, 4x^2 - 3x

First, perform this subtraction:

 7x2 + x + 9

-(3x2 + 4x – 5)

-----------------------

 4x^2 - 3x + 14

Next, subtract 4x^2 - 3x from the above result:

 4x^2 - 3x + 14

-(4x^2 - 3x)

------------------------

                    14 (answer)

4 0
4 years ago
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julia-pushkina [17]

Step-by-step explanation:

it would be best if you snapped this question for better understanding, however

4/√5. +. 3√125

4/√5. +. 3(√25 x √5)

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7 0
3 years ago
PLZ HELP :(
Georgia [21]
The ordered pairs are:
<span>{(1, 80), (2, 240), (3, 720), (4, 2160)}

with
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The equation is:
a_n = 80 * 3^(n - 1)</span>
7 0
3 years ago
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Answer:

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Step-by-step explanation:

Hope this helps! :D

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Which of the following ordered pairs is a solution of x + 1/2y = 1?
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(-2,6)

for example  

x+1/2y=1  

the ordered pair i will use is the first one. (-2, 6)  

so  

(-2) + 1/2(6)=1  

from there it is a simple add/subtract and multiply/divide math problem.  

1/2(6)=3  

so  

(-2) + 3 = 1  

yes this ordered pair works for the solution meaning it is the answer.

3 0
4 years ago
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