Question

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

A.(x + 3, y + 2)

B.(x + 3, y - 2)

C.(x/3, -y/2)

D.(3x, -2y)

Answer 1

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

Answer 2

B. (x + 3, y - 2)

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.