Question 966525
Domain is the set of x values permitted for the function.


What x values are allowed for  {{{sqrt(x)*(4x-3)}}}?


What x values are allowed for {{{sqrt(x)/(4x-3)}}}?


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.

{{{(f*g)(x)=sqrt(x)(4x-3)}}};


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(x)}}}  must use any {{{x>=0}}}.   x is the independent or input variable for {{{sqrt(x)}}}.