Question

what is composite function

Answer 1

"Function Composition" is applying one function to the results of another

Answer 2

a function of function means a composite function,
like \(\large f(g(x)), sin (x^2), \log (\tan x) \)

Answer 3

Example: f(x) = 2x+3 and g(x) = x2
"x" is just a placeholder, and to avoid confusion let's just call it "input":
f(input) = 2(input)+3
g(input) = (input)2

Answer 4

Now, in the composite funtion, Domain(f(x)) is equal to range (g(X))

Answer 5

or not

Answer 6

you mean domain f(g(x)) ?

Answer 7

no

Answer 8

srry i posted wrong
Is the in composite function
the range of f(x) is always equal to domain of g(x) or not

Answer 9

no, not always,
iff f(x) is inverse of g(x) [that is when f(g(x))=x]
only then range of one function = domain of other.

Answer 10

yea i agree with Hartnn

Answer 11

@hartnn
thank u

Answer 12

welcome ^_^