Continuity question---please help?

Question

Hi. I would like to find out the answer to this question.

If

f(x) = a x -1, if x is greater than or equal to 1

x^2, if x < 1,

then what is the value of a so that f is continuous.?

Thanks for any help received.

Answer 1

For continuity, we need a(1) - 1 = (1)^2

=&gt; a - 1 = 1

=&gt; a = 2

Answer 2

Well...you have to see it as limits

lim     ax - 1 = lim  x^2

x &gt;1+                x&lt;1-

ax - 1 = x^2

a = (x^2 + 1 / x)

x=1

a = 2

Answer 3

i dont know

Answer 4

f(x)=a and x -1 then f could equal anything above or equal to 1 and or x!!! duh that is 8th grade algebra!!!! man you must be stupid!!!!!! having a 13 yr old do ur algebra for you!!!!!!