If f(x) = 3x - 5 and g(x) = x^2 - x
what is the value of f(2/3)

Set up the composite result function.

f

(

g

(

x

)

)

Evaluate  

f

(

g

(

x

)

)

by substituting in the value of  

g

into  

f

.

f

(

2

x

+

1

)

=

3

(

2

x

+

1

)

−

5

Simplify each term.

Tap for more steps...

f

(

2

x

+

1

)

=

6

x

+

3

−

5

Subtract  

5

from  

3

.

f

(

2

x

+

1

)

=

6

x

−

2

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square