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Alja [10]
3 years ago
9

If f(x)=3x+2 what is the equation for f^-1(x)

Mathematics
1 answer:
Elden [556K]3 years ago
4 0

Answer:

  f^-1(x) = (x -2)/3

Step-by-step explanation:

To find the inverse function, swap x and y, then solve for y.

  y = 3x +2 . . . . given function

  x = 3y +2 . . . . inverse relation

  x -2 = 3y . . . . subtract 2

  (x -2)/3 = y . . . divide by 3

f^-1(x) = (x -2)/3 . . . . in functional form

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Answer:

5. x = 5, y = 3

6. x = 0, y = 4

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Step-by-step explanation:

5. substitute 3(value of y) into the equation y = x - 2:

=> 3 = x - 2

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6. substitute 0(value of x) into the equation y = x + 4:

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3 years ago
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Answer:

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Step-by-step explanation:

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6 0
3 years ago
The average value of two positive numbers is 30% less than one of the two numbers. By which percentage is average value bigger t
Viefleur [7K]

Answer:

75% bigger

Step-by-step explanation:

Let the first number be x and the second be y.

So:

Average = \frac{x + y}{2}

And:

Average = (1 - 30\%) * x -----30% less than x

Substitute Average = (1 - 30\%) * x in Average = \frac{x + y}{2}

\frac{x + y}{2} = (1 - 30\%) * x

\frac{x + y}{2} = (1 - 0.30) * x

\frac{x + y}{2} = 0.70 * x

\frac{x + y}{2} = 0.70x

Cross multiply

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x + y = 1.40x

Collect like terms

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Make x the subject

x = \frac{y}{0.40}

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So, the average is:

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Average = (1 - 30\%) * 2.50y

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Average =1.75y

Rewrite as:

Average =(1 + 0.75)y

Express as percentage

Average =(1 + 75\%)y

This means that the average is 75% bigger than the second number

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3 years ago
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Answer:

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