SOLUTION: Calculate r(c-3) when r(x)=x-1/3x+5

Question 1028690: Calculate r(c-3) when r(x)=x-1/3x+5
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
you have r(x) = x - 1/3 * x + 5

if i read this equation correctly, then it can be simplified to:

r(x) = 2/3 * x + 5, because x - 1/3 * x = 2/3 * x

so your equation becomes r(x) = 2/3 * x + 5.

you want to find r(c-3)

you replace x with (c-3) to get:

r(c-3) = 2/3 * (c-3) + 5

simplify this to get r(c-3) = 2/3 * c - 2/3 * 3 + 5

simplify further to get r(c-3) = 2/3 * c - 2 + 5.

this results in r(c-3) = 2/3 * c + 3.

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