Question

Plot the points L(1, 0), M(4, 0) and N(1, 3). Find the coordinates of the point O
such that LMNO is a square?

Answer 1

Answer:

let

y

=

1

x

+

4

the denominator of y cannot be zero as this would make

y undefined. Equating the denominator to zero and

solving gives the value that x cannot be

solve

x

+

4

=

0

⇒

x

=

−

4

←

excluded value

domain

x

∈

R

,

x

≠

−

4

(

−

∞

,

−

4

)

∪

(

−

4

,

∞

)

←

in interval notation

to find the range, rearrange making x the subject

y

(

x

+

4

)

=

1

x

y

+

4

y

=

1

x

y

=

1

−

4

y

x

=

1

−

4

y

y

y

=

0

←

excluded value

range

y

∈

R

,

y

≠

0

(

−

∞

,

0

)

∪

(

0

,

∞

)

graph{1/(x+4) [-10, 10, -5, 5]}

Answer 2

Answer:

said ghula has g8hh88hk8hj