F(x) = x + 3, for x ≠ 1.

Step-by-step explanation:

solve

3

−

x

=

0

⇒

x

=

3

←

excluded value

⇒

domain

x

∈

R

,

x

≠

3

x

∈

(

−

∞

,

3

)

∪

(

3

,

∞

)

←

in interval notation

f

(

x

)

=

3

+

x

3

−

x

divide terms on numerator/denominator by

x

f

(

x

)

=

3

x

+

x

x

3

x

−

x

x

=

3

x

+

1

3

x

−

1

as

x

→

±

∞

,

f

(

x

)

→

0

+

1

0

−

1

=

−

1

←

excluded value

⇒

range

y

∈

R

,

y

≠

−

1

y

∈

(

−

∞

,

−

1

)

∪

(

−

1

,

∞

)

graph{(3+x)/(3-x) [-10, 10, -5, 5]}solve

3

−

x

=

0

⇒

x

=

3

←

excluded value

⇒

domain

x

∈

R

,

x

≠

3

x

∈

(

−

∞

,

3

)

∪

(

3

,

∞

)

←

in interval notation

f

(

x

)

=

3

+

x

3

−

x

divide terms on numerator/denominator by

x

f

(

x

)

=

3

x

+

x

x

3

x

−

x

x

=

3

x

+

1

3

x

−

1

as

x

→

±

∞

,

f

(

x

)

→

0

+

1

0

−

1

=

−

1

←

excluded value

⇒

range

y

∈

R

,

y

≠

−

1

y

∈

(

−

∞

,

−

1

)

∪

(

−

1

,

∞

)

graph{(3+x)/(3-x) [-10, 10, -5, 5]}

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2

true

step-by-step explanation:

according to the national european world center, the engineering of the ford company on elon musk's flame throwers proved the globalization of the natural wallabies and therefore, results in the growth product domestication in almonds.