SOLUTION: Hi, having a challenge with two HW questons 1). g(x)=\frac{\sqrt{x-3}}{5-x} 2). Let G(u)=4−3u−u2. Find G(−2u) G(−2u)= ? Thank You, V.

Algebra ->  Functions -> SOLUTION: Hi, having a challenge with two HW questons 1). g(x)=\frac{\sqrt{x-3}}{5-x} 2). Let G(u)=4−3u−u2. Find G(−2u) G(−2u)= ? Thank You, V.       Log On


   

Question 887652: Hi,
having a challenge with two HW questons
1). g(x)=\frac{\sqrt{x-3}}{5-x}
2). Let G(u)=4−3u−u2. Find G(−2u)
G(−2u)= ?

Thank You,
V.


Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
This is not a complete answer, but some help about g%28x%29=sqrt%28x-3%29%2F%285-x%29.

In real numbers, x%3E=3 is necessary. As x tends to 3 from the right, g becomes increasingly negative, and this seems to be an asymptote there is a horizontal axis intercept for x=3. Also a critical point occurs at x=5; in that for g to be defined, x%3C%3E5.

More theoretical stuff can be done, but....

graph%28300%2C300%2C-3%2C12%2C-3%2C12%2Csqrt%28x-3%29%2F%285-x%29%29