Question

What value of x makes the function
g(x)=(2x^2+1)/(x+3) undefined?

Answer 1

A function is undefined anywhere its graph doesn't exist. One of the places any function is guaranteed not to exist is if you have to divide by 0.

Does that help?

Answer 2

I see what you're saying, but how would I figure out what to put x as to make the whole function undefined? would x just be 0?

Answer 3

so to get x+3 = 0

Answer 4

Your function is a fraction. Any time the denominator of the fraction is 0, the fraction doesn't exist. So set the denominator equal to 0 and solve for x.

Answer 5

so then x= -3 would make this function undefined?

Answer 6

Yes, correct.

Answer 7

in this function, does the numerator have the larger degree?

Answer 8

@jb1515g

Answer 9

The degree of the polynomial is simply the term with the largest exponent in it, so yes, in this example, the numerator has the larger degree.

Answer 10

thank you so much! :)