Math, asked by maheswari34, 1 year ago

plz solve fast with explain I will give brain mark fastt please

Attachments:

Answers

Answered by woonnaamith

Answer:

Step-by-step explanation:

Domain is x belong to R-{2} and range is R , i think

please mark my answer !!!!!!!!!!!!

maheswari34: sry ur answer is wrong bcoz I can't put the value of x =2

maheswari34: bcoz if I'll put 2 then value out comes indeterminate soo I can't express it

woonnaamith: yes, we must not keep x = 2, because if we keep x= 2, then it will become an indeterminate form.

woonnaamith: so , i gave the domain as R-(2)

maheswari34: but I can't put na

maheswari34: bcoz domain is the who I put the value of x

woonnaamith: yes

maheswari34: but here I can't put the value of x=2 so how can I put Yr...!!

maheswari34: I think domain is the real number nd x does not belongs to 2

woonnaamith: that's what i am trying to say gave my answer as

Answered by siddhartharao77

Step-by-step explanation:

(i)

Given: f(x) = (x + 1)/(x - 2)

We need to find the domain of f(x).

We know that domain are all x values such that the function is defined.

Then, we will find the values in which f(x) is not defined.

Since f(x) is a fraction, then the denominator can not be 0.

⇒ x - 2 = 0

⇒ x = 2

In real numbers, the denominator cannot be zero.

Hence (x - 2) ≠ 0

⇒ x ≠ 2

Therefore:

Domain = {x | x ≠ 2}

Interval Notation = (-∞,2) ∪ (2,∞)

(ii)

Let x = (y + 1)/(y - 2)

⇒ x(y - 2) = y + 1

⇒ xy - 2x = y + 1

⇒ xy - y = 1 + 2x

⇒ y(x - 1) = 1 + 2x

⇒ y = (1 + 2x)/x - 1

Therefore:

Range = {y|y≠1}

Interval Notation = (-∞,1) ∪ (1,∞)

Hope it helps!

Previous Question

Next Question

plz solve fast with explain I will give brain mark fastt please ​

Answers

Interval Notation = (-∞,2) ∪ (2,∞)

Interval Notation = (-∞,1) ∪ (1,∞)

plz solve fast with explain I will give brain mark fastt please