SOLUTION: If the limit as x approaches 1 is (f(x)-8)/(x-1) = 10 FIND the limit of f(x) as x approaches 1

Algebra ->  Functions -> SOLUTION: If the limit as x approaches 1 is (f(x)-8)/(x-1) = 10 FIND the limit of f(x) as x approaches 1      Log On


   

Question 347142: If the limit as x approaches 1 is (f(x)-8)/(x-1) = 10
FIND the limit of f(x) as x approaches 1
Answer by CharlesG2(834) About Me  (Show Source):
You can put this solution on YOUR website!
changed category from Word Problems: Evaluation, Substitution to Algebra Functions, Domain, NOT graphing --> seemed more appropriate

If the limit as x approaches 1 is (f(x)-8)/(x-1) = 10
FIND the limit of f(x) as x approaches 1

(f(x) - 8)/(x - 1) = 10
f(x) - 8 = 10(x - 1) (multiplied both sides by x - 1)
f(x) = 10(x - 1) + 8 (added 8 to both sides)
f(x) = 10x - 10 + 8 (distributed 10 across)
f(x) = 10x - 2 (simplified)
when x = 1, f(x) = 8
the answer is 8