If f(x)= 2/(x+3) and g(x)= 1/x then what is (gof)(x)?

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justaguide | College Teacher | (Level 2) Distinguished Educator

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The function `f(x)= 2/(x+3)` and `g(x)= 1/x`

gof(x) = g(f(x))

=> `g(2/(x+3))`

=> `1/(2/(x+3))`

=> `(x + 3)/2`

gof(x) is equal to `(x+3)/2`

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