SOLUTION: Let f(x) = √(x-4) - 1 and g(x) = (x+1)^2+2x. Find (gºf)(x) and simplify your answer. Final answer should not have any parentheses. Is my answer correct? (√(x-4) -1

Algebra ->  Functions -> SOLUTION: Let f(x) = √(x-4) - 1 and g(x) = (x+1)^2+2x. Find (gºf)(x) and simplify your answer. Final answer should not have any parentheses. Is my answer correct? (√(x-4) -1      Log On


   



Question 948363: Let f(x) = √(x-4) - 1 and g(x) = (x+1)^2+2x. Find (gºf)(x) and simplify your answer. Final answer should not have any parentheses.
Is my answer correct?
(√(x-4) -1+1)^2 +2(√(x+4) - 1)
= x-4+2√(x-4) + 2
= x+2√(x-4) - 2
^
||
Is this the right answer?
THANKS

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
You are using the definition well, g(f(x)), using f and the input for g. You made a sign mistake in your work, so go back and fix that and then do the steps better.

highlight_green%28x-4%2B2sqrt%28x-4%29-2%29, as this step should be...