Asked by Laisha
Given the function g(x)=5−x^2, simplify g(x+h) − g(x)h, h≠0.
my answer: (5-x^2)-(-x^2+5))/0
my answer: (5-x^2)-(-x^2+5))/0
Answers
Answered by
Reiny
You have a typo, you wanted :
( g(x+h) − g(x) ) / h, h≠0
g(x) = 5 - x^2
g(x+h) = 5 - (x+h)^2 = 5 - (x^2 + 2hx + h^2)
= 5 - x^2 - 2hx - h^2
( g(x+h) − g(x) ) / h
=(5 - x^2 - 2hx - h^2 - (5 - x^2) )/h
= (5 - x^2 - 2hx - h^2 - 5 + x^2)/h
= (-2hx - h^2)/h
= -2x - h , h ≠ 0
You did not evaluate g(x+h) correctly
( g(x+h) − g(x) ) / h, h≠0
g(x) = 5 - x^2
g(x+h) = 5 - (x+h)^2 = 5 - (x^2 + 2hx + h^2)
= 5 - x^2 - 2hx - h^2
( g(x+h) − g(x) ) / h
=(5 - x^2 - 2hx - h^2 - (5 - x^2) )/h
= (5 - x^2 - 2hx - h^2 - 5 + x^2)/h
= (-2hx - h^2)/h
= -2x - h , h ≠ 0
You did not evaluate g(x+h) correctly
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.