These graphs kind of stuck on with these problems

Question

Use the graphs of f(x)f(x) and g(x)g(x) to evaluate the expressions below.

123456-1123456-1f(x)x 123456-1123456-1g(x)x

f(g(5))=f(g(5))= 

g(f(1))=g(f(1))= 

f(f(3))=f(f(3))= 

g(g(0))=g(g(0))= 

Answer 1

Well, it's hard to read what you've posted, but let's see if I can help.

Remember that f(x) is a way of saying y for a function. Then, f(5) is asking "What is y if x = 5?"

With composite functions, f(g(5)) is asking "What is the value of y on the graph of f(x) if x = the value of y on the graph of g(x) when x = 5?"

So, for f(g(5)), go right to (5,0) and go up to the graph of g(x). What is the y-value? Is the point (5,7), for example? Then go right to (7,0) and go up to the graph of f(x).

f(g(x)) is that y-value.

Hope this helps.

Answer 2

The question is really confusing. For one thing, many expressions are repeated. I have a feeling what you meant to say got garbled somewhere! Instead of "Use the graphs of f(x)f(x) and g(x)g(x)", you surely meant "...graphs of f(x) and g(x)." Right?

And instead of "f(g(5))=f(g(5))= ", you must have meant just "f(g(5))", etc. But I can't guess what you meant by "123456-1123456-1f(x)x 123456-1123456-1g(x)x".

Finally, where are the graphs of f(x) and g(x)?

Sorry I can't be more helpful! But clarify the question and I'll take another crack at answering.