SOLUTION: A function y is of the form y = ax^n + bx where a, b and n are real numbers. When x is equal to 1, 3 and 9 respectively, the corresponding values of y are 4, 6, and 15. Find two

Question 976027: A function y is of the form y = ax^n + bx where a, b and n are real numbers. When x is equal to 1, 3 and 9 respectively, the corresponding values of y are 4, 6, and 15.
Find two (2) relations between a and b, not involving n. Hence, or otherwise, find the exact numerical values of a and b, and the value of n correct to 3 decimal places.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

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When ,

1.
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When ,
2.
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When ,

3.
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From eq. 2,

From eq. 3,

So,

Comparing,

So then substituting from eq. 1,

Then,

And finally,

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