NiranjanV582057 NiranjanV582057
  • 26-10-2022
  • Mathematics
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Find f and g so that h(x) =(fog) (x). Neither function may be the identity function f(x)=x.[tex]h(x) = {3}^{ \frac{x}{2} + 2 } [/tex]

Find f and g so that hx fog x Neither function may be the identity function fxxtexhx 3 fracx2 2 tex class=

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KeyonJ429737 KeyonJ429737
  • 26-10-2022

If we have that the result of the composition of two functions is the function:

[tex]h(x)=3^{\frac{x}{2}+2}[/tex]

Then, if we have that the function f (x) is:

[tex]3^x[/tex]

And the function g(x) is:

[tex]g(x)=\frac{x}{2}+2[/tex]

Then, the composition of f(x) and g(x) is:

For the composition of functions, we need to substitute one of the functions in the other function. Then, we have the result for the composition of the functions.

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