Find the domain range of the following function given by 3x/2 x-8. Pls give the exact answer of the same question.... pls fast...2 morror i have exam

Question

Find the domain range of the following function given by 3x/2
x-8 Pls give the exact answer of the same question pls fast 2
morror i have exam

Anuradha Sharma · Accepted Answer

The given function is,
fx=3x2x-8Now this function is defined for all the values of x except at when denominator is zero that is 2x-8 =0 or x = 4So domain is x∈R-4and for range find x in terms of y and the domain of that function will be the range of the function f,y = 3x2x-82xy-8y=3xx2y-3=8yx =8y2y-3Now the domain of this function will be all valyes except when denominator iszero that is 2y-3=0 or y =32So range is y∈R-32