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Consider the function g(x)=200/(x-4). Find the inverse of g and call this function h(x). Evaluate h(40.4). Round to 1 decimal place.

Deathstroke_rule  Mar 6, 2017
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y = 200 / (x - 4)   multiply both sides by x - 4

 

y (x - 4)  = 200

 

yx - 4y  = 200

 

yx  = 200 + 4y     divide by y

 

x  = [ 200 + 4y ] /  y   swap x, y

 

y  = [200 + 4x] / x

 

h(x)  = [200 + 4x] / x

 

h(40.4)  = [200 + 4(40.4)] / 40.4  ≈  8.95  = 9 (rounded)

 

 

cool cool cool

CPhill  Mar 6, 2017

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