Determine all numbers at which the function is continuous.

Question

asked Jan 14, 2020 207k views

1 Answer

Cossandra · Answer 1 · 2020-01-19T10:50:47+0000

Answer: Option a.

Explanation:

Make the denominator equal to zero and solve for x, as following:

x^(2)+8x-9=0

Choose two numbers whose sum is 8 and whose product is 9.

Then:

$(x-1)(x+9)=0\\x=1\\x=-9$

Therefore, based on this, you can conclude that the function is continuous at everty real number except x=1 and x=-9.