Question

If f={(1,2),(2,-3),(3,-1)}, then find (i)2f (ii)f² (iii)f+2 (iv)√f

Answer 1

Answer:

Given that

f = {(1, 2), (2, -3), (3, -1)}

According to it , we have

f(1) = 2 , f(2) = - 3 , f(3) = - 1

i. 2f

Solution: 2f(1) = 2(2) = 4 , 2f(2) = 2(- 3) = -6 , 2f(3) = 2(- 1) = -2

ii. 2 + f

Solution: 2 + f(1) = 2 + 2 = 4 , 2 + f(2) = 2 + ( - 3 ) = 2 - 3 = - 1 ,

2 + f(3) = 2 + (- 1) = 2 - 1 = 1

iii. f²

Solution: f^2(1) = 2^2 = 4 , f^2(2) = (- 3)^2 = 9 , f^2(3) = (- 1)^2 = 1

iv. √f

Solution:

\begin{gathered}\sqrt{f(1)} = \sqrt{2} \\\sqrt{f(2)} = \sqrt{-3} \\\sqrt{f(3)} =\sqrt{-1}\end{gathered}

f(1)

=

2

f(2)

=

−3

f(3)

=

−1