The value of the given composite functions:
1) [tex](h\circ k)(3)=\bold{3}[/tex]
2) [tex](k \circ h)(-4b)=\bold{-4b}[/tex]
What is composite function?
- A function made of other functions, where the output of one is the input to the other.
- For functions f(x) and g(x), a composite function is ,[tex](f\circ g)(x)=f(g(x))[/tex] [tex](g\circ f)(x)=g(f(x))[/tex]
What is mean by two functions are inverses?
- When two functions are inverses, then each will reverse the effect of the other.
- For the functions f and g, [tex](f\circ g)(x) = x[/tex] and [tex](g\circ f)(x)=x[/tex]
For given example,
The functions h and k are inverse functions.
So for any real input value 'x',
⇒ [tex](h \circ k)(x) = x[/tex] and [tex](k \circ h)(x)=x[/tex]
So, the value of the given composite functions would be,
1) [tex](h\circ k)(3)=\bold{3}[/tex]
2) [tex](k \circ h)(-4b)=\bold{-4b}[/tex]
Learn more about composite function here:
https://brainly.com/question/27659185
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