r(x)=(1/x-5)+2 write this as a rational expression by adding the terms

Question

campbell_st · Answer

well you need a common denominator or (x - 5)

so you need to simplify 

$$r(x) = \frac{1}{x -5} + \frac{2}{1} \times \frac{x - 5}{x -5}$$

hope this helps.

anonymous · Answer

do I just multiply them then?

campbell_st · Answer

yep... so its 

$$r(x) = \frac{1}{x -5} + \frac{2 \times (x -5)}{x - 5}$$

simplify the 2nd fraction... and then just add the numerators

anonymous · Answer

2x-10/x-5

campbell_st · Answer

thats the 2nd fraction... so you have 

$$r(x) = \frac{ 1 + 2x -10}{x - 5}$$

just simplify it  1 - 10 =

anonymous · Answer

-9

campbell_st · Answer

yep so the answer is just 

$$r(x) = \frac{2x -9}{x - 5}$$

anonymous · Answer

ok thank you

anonymous · Answer

so to determine the x intercept of this would you just set it equal to zero and solve? I got x=9/2

stamp · Answer

|dw:1365017348383:dw|

stamp · Answer

what value of x provides y = 0

solve 2x - 9 = 0

2x = 9

x = 9/2

x-int at (9/2, 0)

anonymous · Answer

and the y intercept is 9/5, 0

stamp · Answer

when x =0, what is your y value to solve y-int (0, y)|dw:1365017483904:dw|

f(0) = 9/5

y-int at (0, 9/5)