Let ​f(x)equals6minusx and ​g(x)equalsStartFraction 1 Over x EndFraction

Question

. Perform the function operation and then find the domain of the result.
​(gminus​f)(x)

Answer 1

(g - f)(x) = g(x) - f(x) = 1/x - (6-x) = 1/x - 6 + x

The domain of the result is all real numbers except x = 0, because division by zero is undefined. Therefore, the domain is (-∞, 0) U (0, ∞).