Can any one help? Model the pair of situations with exponential functions f and g. Find the approximate value of x that makes​ f(x) =​ g(x). ​f: initial value of 800 decreasing at a rate of 12​% ​g: initial value of 20 increasing at a rate of 12​%

The given exponential functions f(x) and g(x) will be equal for the value of x as 4.1466.

Step-by-step explanation:

We need to give exponential function to the given constraints.

since f(x) is a decreasing function so

f(x) =

where

a = Initial value

r = rate at which function is decreasing

as we are given the values of a and r such as a = 800 and r = 12%

upon substituting these values in the equation we get

f(x) =

      =

similarly we will do for g(x) but the only difference in f(x) and g(x) will be that f(x) in a decreasing exponential function whereas g(x)  is an increasing function.

g(x) =

where a is initial value and r is the rate at which the function is increasing so upon substituting these values we get.

g(x) = =

Now,

we need to find the value of x for which f(x) and g(x) will be equal.

so  

x will be approximately 4.1466

Therefore the given exponential functions f(x) and g(x) will be equal for the value of x as 4.1466.

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are

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step-by-step explanation:

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