Question
The functions f and g are defined above, where b is a constant. If , what is the value of b ?
The correct answer is: 0.33
We use comparison to equate different coefficients and get the value of b.
Explanations:
Step 1 of 2:
The given functions are—
Given that,,
Step 2 of 2:
Now, comparing the coefficients of and , we get
(9 - 3b) = 8
⇒ 3b = 9 - 8
And, 9b = 3
So, we can observe that the values of b satisfies both the comparisons. Hence, value of b is .
Final Answer:
The value of b is = 0.33
Related Questions to study
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