SOLUTION: I have to solve this. Could you please help me out? TKS :) True or false: The function "f(x) = 3x" grows three times faster than the function "g(x) = x". Explain.

Question 36637: I have to solve this. Could you please help me out? TKS :)
True or false: The function "f(x) = 3x" grows three times faster than the function "g(x) = x". Explain.
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
True or false: The function "f(x) = 3x" grows three times faster than the function "g(x) = x". Explain.
LET X GO FROM A TO B .....
F(X)=3X BECOMES.....3A AT X=A AND 3B AT X=B .SO IT GOES FROM 3A TO 3B
RATE OF GROWTH =(3B-3A)/(B-A)=3(B-A)/(B-A)=3
G(X)=X BECOMES ......A AT X=A AND B AT X=B.SO IT GOES FROM A TO B
RATE OF GROWTH =(B-A)/(B-A)=1
HENCE F(X) GROWS 3 TIMES FASTER THAN G(X)
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