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mrs_skeptik [129]
3 years ago
14

Suppose f(x) = mx + b. What is the inverse function in terms of m and b?

Mathematics
1 answer:
katrin2010 [14]3 years ago
7 0

Answer:

f^(-1)(x) = (x-b)/m  or  x/m - b/m

Step-by-step explanation:

f(x) = y = mx + b

To find the inverse function, interchange x and y and solve for y, i.e.

x = my + b

my = x-b

y = (x-b)/m = x/m - b/m

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Read 2 more answers
8. Patrice and Don buy a home for $92,000. The property tax rate is$39.50 per $1,000 of assessed value. The assessment rate is 4
Kaylis [27]

We start by calculating the assessed value, that is 41% of the price.

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AV=a\cdot P=\frac{41}{100}\cdot92000=0.41\cdot92000=37720

The property tax rate is $39.50 per $1000 of assessed value, so we can express this rate as:

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We then can multiply this rate by the assessed value to calculate the total property tax:

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NOTE: we could have also multiplied 39.50 by 37.72. The value 37.72 is the thousands of dollars of assessed value. We would have obtained the same result: 39.50*37.72=1489.94.

Answer: the property tax is $1,489.94.

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