suppose that f(x) = 4x+7 and g(x) =2x. what is a rule for g(f(x)? what is a rule for f(g(x))? suppose that f(x) = 4x+7 and g(x) =2x. what is a rule for g(f(x)? what is a rule for f(g(x))?

Question

mathmale · Answer

These are called "composite functions.  One function is used as the input to the other.

Example  suppose that f(x) = 4x+7 and g(x) =2x. what is a rule for g(f(x)).
Please note that function f(x) is here used as the INPUT to function g(x).

Function g(x) = 2x.
Without the argument:   g(              ) = 2(            )
Substitute f(x) in the form of 4x+7 into both sets of parentheses.

Please show your work.

Please note that g(f(x)) is not multiplication; it's a "composite function."

blowery · Answer

Thank you very much!

mathmale · Answer

Alex:  Want to try again?  You multiplied the 2 functions.  That's not what was called for.

mathmale · Answer

My pleasure.  Any further questions to ask?

anonymous · Answer

mathmale it was my mistake excuse me for wrong answer

mathmale · Answer

Multiplication of f and g is shown by f(x) * g(x)

Composite function with g(x) used as input to f(x) is     f(g(x)).

mathmale · Answer

this is a learning environment; we all make mistakes here, and hopefully learn from them.  ;)