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2 years ago

If f(x) = 5x, what is f^-1(x)

Mathematics

2 answers:

sergij07 [2.7K]2 years ago

6 0

Answer:

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

Step-by-step explanation:

y = 5x

Exchange x and y to find the inverse

x = 5y

Solve for y

1/5x = y

The inverse is 1/5x

Delicious77 [7]2 years ago

4 0

Answer:

$\Large \boxed{f^{-1}(x)=\frac{x}{5} }$

Step-by-step explanation:

f(x) = 5x

Replace f(x) with y.

y = 5x

Switch variables.

x = 5y

Divide both sides by 5.

$\frac{x}{5} =y$

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Use the definition of the function to evaluate it at the points in the numerator:

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Step-by-step explanation:

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Serga [27]

Answer:

Leo is true for any numbers (including decimal numbers)

Step-by-step explanation:

* Lets explain how to solve the problem

- In number 256

# 6 is the unit digit (one digit)

# 5 is the ten digit (10 digit)

# 2 is the hundred digit (100 digit)

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# 6 digit is moved 1 place to the left now its place changed from unit

digit to ten digit (from 1 to 10) that means 6 in the second number

is 10 times the 6 in the first number

# 5 digit is moved 1 place to the left now its place changed from ten

digit to hundred digit (from 10 to 100) that means 5 in the second

number is 10 times the 5 in the first number

# 2 digit is moved 1 place to the left now its place changed from

hundred digit to thousand digit (from 100 to 1000) that means 2

in the second number is 10 times the 2 in the first number

- In number 2.345

# 2 is the unit digit (one digit)

# 3 is the tenth digit (1/10 digit)

# 4 is the hundredth digit (1/100 digit)

# 5 is the thousandth digit (1/1000 digit)

- If we change the number to 23.45

# 3 digit is moved 1 place to the left now its place changed from tenth

digit to unit digit (from 1/10 to 1) that means 3 in the second number

is 10 times the 3 in the first number

# 4 digit is moved 1 place to the left now its place changed from

hundredth digit to tenth digit (from 1/100 to 1/10) that means 4 in the

second number is 10 times the 5 in the first number

# 5 digit is moved 1 place to the left now its place changed from

thousandth digit to hundredth digit (from 1/1000 to 1/100) that means

5 in the second number is 10 times the 5 in the first number

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Answer:

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