f(g(1/x)) = 1/[3 - g(1/x)] = (x+2)x
3 - g(1/x) = 1/[(x+2)x]
g(1/x) = 3 - 1/[(2x+2)x]
g(x) = 3 - 1/[(2/x +2)(1/x)]
Please i need your help for these problems:
1. if f(g(1/x)) = (x+2)x and f(x) and f(x)= 1/(3-x), find g(x).
2. Find the equation of the line through the origin and bisecting the angle between the axes in the first and third quadrants.
3. Find a so that the system below has an infinite number of solutions
ax + (2/3)y = 1/2
2x + (3/2)y = 9/8
Wouldn't this just be y = x? Or am I not reading this right?
For this system to have an infinite number of solutions one equation has to be a "multiple" of another. Notice that (2/3)(9/4) = 3/2 and (1/2)(9/4) = 9/8. So a * (9/4) = 2. Solve for a.3. Find a so that the system below has an infinite number of solutions
ax + (2/3)y = 1/2
2x + (3/2)y = 9/8
i thank you so much for your help... you are all my angels in my field... thank u guys. i hope somebody could help me out for my # 2 problems... thank you mathematicians . but please let me know how to type the mathematical operators/symbols in this page.. let me know how... please.
rcs