Question

If T: (x, y) → (x - 3, y + 2), then T -1: (x,y) → _____.

Answer 1

the correct answer is b (x+3,y-2)

Answer 2

Answer:

B. (x + 3, y - 2)

Step-by-step explanation:

Given,

$T: (x, y)\rightarrow (x - 3, y + 2)$,

Let

$T^{-1}: (x, y)\rightarrow (x+a, y+b)$

$\implies T^{-1}: (x-3, y+2)\rightarrow (x-3+a, y+2+b)$

Since, $T^{-1}$ is inverse of $T$

Thus, by the property of inverse function,

x - 3 + a = x ⇒ a = 3

Also,  y + 2 + b = y ⇒ b = - 2

By substituting the values,

We get,

$T^{-1}: (x, y)\rightarrow (x+3, y-2)$

Hence, Option B is correct.