Find the indicated function or value. If f (x) = x + 3 and g (x) = 2x + 8
then find (89) (2) =

First we find the function

g

(

f

(

x

)

)

To do this we substitute the variable

x

in

g

(

x

)

for

f

(

x

)

:

∴

g

(

x

)

=

3

x

−

2

g

(

f

(

x

)

)

=

3

(

f

(

x

)

−

2

f

(

x

)

=

2

x

+

8

So:

g

(

f

(

x

)

)

=

3

(

2

x

+

8

)

−

2

=

6

x

+

24

−

2

=

6

x

+

22

We now plug in the value

x

=

−

4

g

(

f

(

−

4

)

)

=

6

(

−

4

)

+

22

=

−

2

1. d.90

2. e. none of these (80)

3. a. 0

4. b. 6

5. e. none of these (10)

6. a. 5

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.