Using the value k=300, alter the formula g(t)=k/(k+t^2) by scaling and shifting to get a new function with maximum point at (60;400) and points of inflection at t=50 and t=70. Call this function h(t), write down its formula.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.5: Transformation Of Functions
Problem 5SE: How can you determine whether a function is odd or even from the formula of the function?
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Using the value k=300, alter the formula g(t)=k/(k+t^2) by scaling and shifting to get a new function with maximum point at (60;400) and points of inflection at t=50 and t=70. Call this function h(t), write down its formula. 

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