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Chapter 7: Q30. (page 351)

If $p (x) = 3 x^{2} - 2 x + 5 and r (x) = x^{3} + x + 1$ then find $r (3 a)$ .

Short Answer

Expert verified

The value of $r (3 a) = 27 a^{3} + 3 a + 1$ .

Step by step solution

01

Step 1. Write down the given information.

The given functions are $p (x) = 3 x^{2} - 2 x + 5 and r (x) = x^{3} + x + 1$ .

02

Step 2. Calculation.

Evaluating $r (3 a)$ by plugging $x = 3 a$ in given function $r (x) = x^{3} + x + 1$ .

$\begin{matrix} r (x) = x^{3} + x + 1 .... (Given) \\ r (3 a) = {(3 a)}^{3} + (3 a) + 1 \\ = 27 a^{3} + 3 a + 1 \end{matrix}$

03

Step 3. Conclusion.

The value of $r (3 a) = 27 a^{3} + 3 a + 1$ .

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