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

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

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