PLEASE HELP MAX POINTS ONE OF THE LAST ASSIGNMENTS IN THE SEMESTER, I HAVE 4 HOURS TO FINISH MY HOMEWORK
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The domain is the set of allowed inputs, in this case t values. The smallest t value allowed is t = 0. The largest is t = 165. So that's why the domain is 
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The range is
since H = 0 is the smallest output of the function and H = 40,000 is the largest output. Like the domain, the range is the set of possible outputs of a function.
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The range is
The inverse function of is
The function is given as:
Rewrite as;
Swap the positions of x and y
Multiply through by -2
Square both sides
4x^2 = y + 3
Subtract 3 from both sides
y = 4x^2 - 3
Express as an inverse function
Hence, the inverse function of is
Read more about inverse function at:
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