Thursday, January 6, 2011

f(x) = x+1 g(x) = 4 What is (g o f)(x)?

`f(x) = x + 1`


`g(x)=4`


Find `(gof)(x)` .


To solve, input the function f(x) to g(x).


`(g o f)(x)`


`= g(f(x))`


`= g(x + 1)`


Take note that the given g(x) is a constant function. This means that whatever the input is, the result is always the same number.


`=4`


Therefore,  `(g o f)(x) = 4` .

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