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Mashcka [7]
3 years ago
14

The rate of inflation is 3%. The cost of an item in future years can be found by iterating the function c(x) = 1.03x. Find the c

ost of a $1500 refigerator in three years if the rate of inflation remains consistant.
Mathematics
1 answer:
Illusion [34]3 years ago
8 0
This is an expontential growth, which is a growth based on f(x) = b*a^x 
b = 1500
a = 1.03
x = 3

f(3)=1500*1.03^3 = 1639.10$

After three years the fridge would cost 1639.1$.
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Which of the following function pairs are inverses?
irga5000 [103]

If the function f(x) = 5x – 3, then its inverse function g(x) will be (x + 3) / 5. Then the correct option is C.

<h3>What is inverse of a function?</h3>

Suppose that the given function is

f:X → Y

Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is

 f⁻¹: Y → X

such that:

\forall \: x \in X : f(x) \in Y, \exists \: y \in  Y : f^{-1}(y) \in X

(and vice versa).

It simply means, inverse of 'f' is undo operator, that takes back the effect of 'f'.

If the f(x) = 5x - 3, then the inverse function of the f(x) will be

g(x) = f⁻¹(x)

Then we have

5g(x) - 3 = x

5g(x) = x + 3

g(x) = (x + 3) / 5

Then the correct option is C.

Learn more about inverse function here:

brainly.com/question/19425567

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