Question 285940
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The composite of two functions means to substitute the second function for the independent variable in the first function.  So to create *[tex \Large \left(f\,\text{o}\,g\left)(x)] take the definition of *[tex \Large g(x)] and put it in the place of *[tex \Large x] in the definition of *[tex \Large f(x)]


*[tex \LARGE\ \ \ \ \ \ \ \ \ \ \left(f \text{o} g\right)(x)\ =\ 2^{x^2\,-\,1}] 


Now, to calculate the value of the composite at a given value of the independent variable, substitute that value in place of the independent variable wherever it exists in the definition of the composite that you just created:


*[tex \LARGE\ \ \ \ \ \ \ \ \ \ \left(f \text{o} g\right)(3)\ =\ 2^{3^2\,-\,1}] 


Notice all of the *[tex \Large x]s are gone and have been replaced by 3s.  I'll let you do your own arithmetic.


John
*[tex \Large e^{i\pi}\ +\ 1\ =\ 0]
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