Question

x² +2 →
derermine its range if x belongs to real numbers​

Answer 1

Step-by-step explanation:

Equate the denominator(

x

2

−

2

x

−

3

) to zero, then solve the equation for

x

→

x

2

−

2

x

−

3

=

0

→

x

=

−

(

−

2

)

±

√

(

−

2

)

2

−

4

⋅

(

1

)

⋅

(

−

3

)

2

⋅

1

→

x

=

1

±

2

⇒

x

=

−

1

and

x

=

3

This means that, when

x

=

−

1

or

3

, we have the

x

2

−

2

x

−

3

=

0

Implying that

f

(

x

)

=

x

0

which is undefined.

Hence, the domain is all real numbers except

−

1

and

3

Also written as

D

f

=

(

−

∞

,

−

1

)

∪

(

−

1

,

3

)

∪

(

3

,

+

∞

)

Answer 2

Answer:

Ex 2.3, 5 Find the range of each of the following functions. f(x) = 2 – 3x , x ∈ R, x > 0. Given that x > 0, Multiplying 3 both sides ...