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.

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) (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 ?

What x values are allowed for ?

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

----
"Find the following:" means to form the expressions according to substituting the given functions of f and g.
;

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, must use any . x is the independent or input variable for .
RELATED QUESTIONS
Functions f and g are given as follows f(x)= 5/x+3, g(x)= x/x+3. Find each of the... (answered by Alan3354)

In the given functions f and g; f(x)=square root of x; g(x)=4x-3 find the following;... (answered by josgarithmetic)

Please show all work. Given the following functions f(x)=x+3 g(x)=√(x-1)... (answered by rothauserc)

I don't understand functions, I really need help. 17.) Let f(x)= 5x and g(x)=-2x-3.... (answered by josgarithmetic)

3.14 Given f(x)=x-4 and g(x)=4x^2, find f+g, f-g, fg, and f/g. Determine the domain... (answered by ikleyn)

For the given functions f and g, find the specified value of the following functions and... (answered by fractalier)

Given that f(x)=x-2, g(x)= -3x^2 +15x-1, and h(x)= square root x-4, find the following... (answered by satyareddy22)

Given functions f and g, determine the domain of f + g. f(x) = 2x + 7, g(x) = 3x +... (answered by ewatrrr)

Consider two functions, f and g, given by: {{{ f(x)= sqrt ( x-1 ) }}} and {{{ g(x)= sqrt... (answered by jim_thompson5910,CharlesG2)