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Orlov [11]
4 years ago
6

What is the inverse of the function f(x) = 2x + 1?

Mathematics
2 answers:
Marina CMI [18]4 years ago
5 0

Answer:

\displaystyle f^{-1}(x)= \frac{1}{2}x - \frac{1}{2}

Step-by-step explanation:

f(x) = 2x + 1

f(x) = y (output)

y = 2x + 1

Solve for x.

y - 1 = 2x

Divide 2 on both sides.

y/2 - 1/2 = x

1/2y - 1/2 = x

Switch variables.

1/2x - 1/2 = y

f^{-1}(x)= \frac{1}{2}x - \frac{1}{2}

BaLLatris [955]4 years ago
3 0

Answer:

f^{-1} = \frac{x-1}{2}

Step-by-step explanation:

f(x) = 2x+1

<em>Replace it with y</em>

y = 2x+1

<em>Exchange the values of  x and y</em>

x = 2y+1

<em>Solve for y</em>

x = 2y+1

<em>Subtracting 1 from both sides</em>

2y = x-1

<em>Dividing both sides by 2</em>

y = \frac{x-1}{2}

<em>Replace it by </em>f^{-1}

So,

f^{-1} = \frac{x-1}{2}

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Mr. Sanchez’s class sold 51 snickers and Mr. Kelly’s class sold 31 bottles of fruit juice.

Step-by-step explanation:

Step 1:

Assume x is the number of snickers sold and y is the number of fruit juices sold. It is given that both the classes sold 82 items in total. so

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It is also given they both earned $115.56 out of which snickers sold for $1.50 each and fruit juice sold for $1.26 each. So,

1.50x + 1.26y = 115.56, take this as equation 2.

Step 2:

Now we solve these equations.

Equation 1 can also be, y = 82 - x, take this as equation 3.

Substitute equation 3 in 2,

1.50x + 1.26(82-x) = 115.56,

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Taking the known values to the right and keeping the unknown x values on the right, we get

0.24x = 115.56-103.32 = 12.24

0.24x = 12.24, x = 51.

Substitute this is equation 1,

x + y = 82, y = 82 - x, y = 82 - 51 = 31.

So Mr. Sanchez’s class sold 51 snickers and Mr. Kelly’s class sold 31 bottles of fruit juice.

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3 years ago
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Step-by-step explanation:

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Answer:

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To check weather the number is divisible by 3 and 4 then when should know the divisibility rule of 3 and 4.

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3 years ago
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