For f(x)=√x and g(x)=6x-7, find (f/g)(x) and state its domain

Answer 1

Elba,

Is it possible you mean (f o g)(x)? If you are dealing with composite functions?

(f o g)(x) = √(6x - 7) and the domain is “x is any real number greater than or equal to -7/6”

The domain is this because we cannot have the square root of a negative number, so x cannot make what’s inside the square root less than 0.

If you really meant (f/g)(x), I assume your answer would be

(√x)/(6x -7). Then your domain would be “x is any real number besides -7/6” because the denominator of a fraction can be anything except 0.

Hope this helps! :)