Question

DO ALL PLEASE ! WILL MANIFEST YOU A GOOD WEEK IF YOU WRITE ALL CORRECT

Answer 1

Step-by-step explanation:

Exact Form:

35

2

Decimal Form:

17.5

Mixed Number Form:

17

1

2

ᴀɴsᴡᴇʀ 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]}