Graph your two functions on a coordinate plane. Include a table of values for each function. Include 5 values for each function. Graph the line y = x on the same graph.

Question

henrietepurina · Answer

f(g(x))=  ((4x-3)+3)/4=  4x/4=x

henrietepurina · Answer

g(f(x))=4( (x+3)/4  )-3=x

imstuck · Answer

Do you have the individual functions without the compositions?  Like what is f(x) and what is g(x)?

henrietepurina · Answer

what? im sotty i dont understand...

henrietepurina · Answer

@Hero

hero · Answer

I thought you finished this already.

henrietepurina · Answer

Yeah but desmos wont graph this :(

hero · Answer

I don't think you understand what you are doing. That's not what you were supposed to graph.

henrietepurina · Answer

what?

hero · Answer

You were supposed to graph g(x) and f(x)

henrietepurina · Answer

yeah i did... but it didnt recognise it :(

hero · Answer

Do you remember the expressions for f(x) and g(x)?

henrietepurina · Answer

yeah...
 f(g(x))=  ((4x-3)+3)/4=  4x/4=x 
g(f(x))=4( (x+3)/4  )-3=x

henrietepurina · Answer

@hero ?

hero · Answer

Those are the "compositions" of f and g, not the original expressions of f(x) and g(x).

henrietepurina · Answer

so what do i do?

hero · Answer

Find the original expressions for f(x) and g(x). Go back to the previous question you posted to find them.

henrietepurina · Answer

can you help me do that?

henrietepurina · Answer

@radar

henrietepurina · Answer

can you help me bud?

henrietepurina · Answer

i really need help on this....

hero · Answer

Okay, I'll help you with the expressions for f(x) and g(x) although I am surprised you don't know what they are. We went over this in detail earlier.

henrietepurina · Answer

im very sorry...

hero · Answer

$$f(x) = \frac{x + 3}{4}$$
$$g(x) = 4x - 3$$

hero · Answer

Do you remember those expressions?

henrietepurina · Answer

yeah...

henrietepurina · Answer

the g(x) can be put on a graph but what about f(x)

henrietepurina · Answer

ok i graphed them.... what does it mean by Include a table of values for each function. Include 5 values for each function. Graph the line y = x on the same graph.

henrietepurina · Answer

@Hero 
@radar

hero · Answer

Basically, you have to start with x = 0 and then provide the corresponding y value. 
Then continue until you get to x = 5 providing the corresponding y values for each value of x.