SOLUTION: In the given functions f and g; f(x)=square root of x; g(x)=4x-3 find the following; (f*g)(x) and (f/g)(x). List the domain of each result. Please help.

Algebra ->  College  -> Linear Algebra -> SOLUTION: In the given functions f and g; f(x)=square root of x; g(x)=4x-3 find the following; (f*g)(x) and (f/g)(x). List the domain of each result. Please help.      Log On


   

Question 966525: In the given functions f and g; f(x)=square root of x; g(x)=4x-3 find the following;
(f*g)(x) and (f/g)(x).
List the domain of each result.
Please help.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Domain is the set of x values permitted for the function.

What x values are allowed for sqrt%28x%29%2A%284x-3%29?

What x values are allowed for sqrt%28x%29%2F%284x-3%29?

In both cases, obviously x must be nonzero; but what about anything else as restrictions?


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"Find the following:" means to form the expressions according to substituting the given functions of f and g.
%28f%2Ag%29%28x%29=sqrt%28x%29%284x-3%29;

Domain means the set of numbers which the independent variable of a function can be. Square root must take nonzero input value for Real numbers. This means, sqrt%28x%29 must use any x%3E=0. x is the independent or input variable for sqrt%28x%29.