Assume that f and g are uniformly continuous functions defined on a common domain a. which of the following combinations are necessarily uniformly continuous on a: f(x) + g(x), f(x)g(x), f(x) g(x) , f(g(x)) ? (assume that the quotient and the composition are properly defined and thus at least continuous.)

First step is to get rid of the square root. remember that a square root is the same as raising to the (1/2) power. see below: multiply exponents per exponent rules to get: remember you subtract exponents from the denominator and add exponents in the numerator so: simplify further: so a is the correct choice. if you don't understand this google exponent rules and it will you understand. look at the image results.