SOLUTION: g(x)=\sqrt { ( x - 3 ) ^ { 2 } } l(x)= \frac { 1 } { \sqrt { x } } What Is the D l/g of this two functions

Algebra ->  Functions -> SOLUTION: g(x)=\sqrt { ( x - 3 ) ^ { 2 } } l(x)= \frac { 1 } { \sqrt { x } } What Is the D l/g of this two functions       Log On


   

Question 1181192: g(x)=\sqrt { ( x - 3 ) ^ { 2 } }
l(x)= \frac { 1 } { \sqrt { x } }
What Is the D l/g of this two functions
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!


g%28x%29=sqrt%28%28+x+-+3+%29+%5E2+%29=>g%28x%29=+abs%28x+-+3%29+
l%28x%29=+1+%2Fsqrt%28+x%29
What Is the D l%2Fg of this two functions
l%2Fg=%281+%2Fsqrt%28+x%29%29%2Fabs%28+x+-+3+%29
l%2Fg=1+%2F%28sqrt%28+x%29%2Aabs%28+x+-+3+%29+%29

the D: all real numbers except those which make denominator equal to zero and they are
sqrt%28+x%29%2Aabs%28+x+-+3+%29+=0
if sqrt%28+x%29=0=>x=0
if abs%28+x+-+3+%29+=0=>x=3

domain: { x element R : 0%3Cx%3C3 or x%3E3 }
Interval notation:
(0, 3 ) U (3, infinity )