The inverse function of the function is s'1(t) = 1/7(10t + 85)
What are inverse functions?
Inverse functions are the opposite of an original equation.
This means that for a function f(x), the inverse of the function f(x) is f-(x); it also represents the opposite function
How to determine the inverse functions?
The function f(x) is given as
s(t) = -(85 - 7t)/10
As a general rule, we start by writing s(t) as a variable (say s(t) = s).
So, the equation of the function becomes
s = -(85 - 7t)/10
The next step is to switch/swap the positions of s and t in the above equation s = -(85 - 7t)/10
The equation becomes
t = -(85 - 7s)/10
The next step is to make s the subject of the formula in the above equation t = -(85 - 7s)/10
The equation becomes
10t = -(85 - 7s)
Open the bracket
10t = -85 + 7s
So, we have
7s = 10t + 85
Divide by 7
s = 1/7(10t + 85)
Express as an inverse function
s'1(t) = 1/7(10t + 85)
Hence, the inverse function of the function is s'1(t) = 1/7(10t + 85)
Read more about inverse equations at:
brainly.com/question/14391067
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