Write the pre-images of 2 and 3 in the function f = { (12, 2), (13, 3), (15, 3), (14, 2), (17, 17) }.

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Solution

Pre-images of $2 = 12$ and $14$
Pre-images of $3 = 13$ and $15$

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Prove that:
(i) $\frac{1}{3 + \sqrt{7}} + \frac{1}{\sqrt{7} + \sqrt{5}} + \frac{1}{\sqrt{5} + \sqrt{3}} + \frac{1}{\sqrt{3} + 1} = 1$
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\to

N defined by
f (x) = 3x +2, x

\in

N. Find the pre-images of 29 and 53.

Q. Calculate standard deviation of the following data.

X	$10$	$11$	$12$	$13$	$14$	$15$	$16$	$17$	$18$
f	$2$	$7$	$10$	$12$	$15$	$11$	$10$	$6$	$3$

If f(x) = $2 x^{3} - 13 x^{2}$ + 17x + 12, find

(i) f(2) (ii) f(-3) (iii) f(0)

Q. Evaluate :

{∣ ∣ ∣ ∣ \begin{matrix} 2 & 3 & 7 13 & 17 & 5 15 & 20 & 12 \end{matrix} ∣ ∣ ∣ ∣}^{2}

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Write the pre-images of 2 and 3 in the function f = { (12, 2), (13, 3), (15, 3), (14, 2), (17, 17) }.

Pre-images of 2=12 and 14Pre-images of 3=13 and 15

Pre-images of $2 = 12$ and $14$
Pre-images of $3 = 13$ and $15$