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fgiga [73]
1 year ago
7

What is the inverse of F(x) =5x/3+ 5

Mathematics
1 answer:
ahrayia [7]1 year ago
4 0

The inverse function of f(x) = 5x/3 + 5 is f-1(x) = 3x/5 - 3

<h3>How to determine the inverse?</h3>

The function is given as:

f(x) = 5x/3 + 5

Rewrite as:

y = 5x/3 + 5

Swap x and y

x = 5y/3 + 5

Subtract 5 from both sides

x - 5 = 5y/3

Multiply through by 3

3x - 15 = 5y

Divide through by 5

y = 3x/5 - 3

Express as inverse function

f-1(x) = 3x/5 - 3

Hence, the inverse function of f(x) = 5x/3 + 5 is f-1(x) = 3x/5 - 3

Read more about inverse functions at:

brainly.com/question/14391067

#SPJ1

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zhannawk [14.2K]

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6 0
3 years ago
2. At an amusement park, 60% of the people were adults, and the rest were
Aneli [31]

Answer:

Step-by-step explanation:

they had at least 989 people at the amusement park

7 0
3 years ago
Plz answer ASAP need help
Aleks04 [339]

Answer:

4 hours

Step-by-step explanation:

Let the number of hours = x.

Jay reads 55 pages per hour, so in x hours, he reads 55x pages.

After reading for x hours, he has 278 - 55x pages left to read.

Odhran reads 45 pages per hour, so in x hours, he reads 45x pages.

After reading for x hours, he has 238 - 45x pages left to read.

Since we want to know when they have the same number of pages left, we set the expressions equal and solve for x.

278 - 55x = 238 - 45x

Add 45x to both sides.

278 - 10x = 238

Subtract 278 from both sides.

-10x = -40

Divide both sides by -10.

x = 4

Answer: 4 hours

6 0
3 years ago
Select all of the potential solution(s) of the equation 2log5x = log54.
Vanyuwa [196]

Answer:

x = ±2

Step-by-step explanation:

A equation is given to us , which is ,

\longrightarrow 2log_5(x) = log_5 4

From <u>properties </u><u>of </u><u>logarithm </u>we know that ,

\longrightarrow alog\ m = log \ m^a

Applying this to LHS , we have ;

\longrightarrow log_5 x^2 = log_5 4

Now the bases of logarithm on LHS and RHS is same . On comparing , we have ;

\longrightarrow x^2 = 4

Put square root on both sides,

\longrightarrow x =\sqrt{4}

Simplify ,

\longrightarrow \underline{\underline{ x =\pm 2 }}

This is the required answer.

6 0
2 years ago
A die is rolled. Find the probability of each outcome.<br><br> P (greater than 1)
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The probability of it being greater than one on a six sided die is 5/6 or 5:6
6 0
3 years ago
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