SOLUTION: If {{{ f(x) = 2 ^ X }}} and {{{ g(x) = x^2 - 1}}}, determine the value of (f o g)(3).

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Question 285940: If +f%28x%29+=+2+%5E+X+ and +g%28x%29+=+x%5E2+-+1, determine the value of (f o g)(3).
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The composite of two functions means to substitute the second function for the independent variable in the first function. So to create take the definition of and put it in the place of in the definition of



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:



Notice all of the s are gone and have been replaced by 3s. I'll let you do your own arithmetic.

John