Question

If the line tangent to the curve y=x^2+3x+1 at (a,b) passes through the point (1,4), then the possible values of a are?

Answer 1

Possible Answers: a) 0 and 2 b) 1/4 and 2 c) 3/4 and 1 d) 0 and 1 e)1/4 and 3/4

Answer 2

for some reason i plugged in 4 suppose to plug in 1
since we have (1,4) not x=4
\[2a+3=\frac{a^2+3a+1-4}{a-1}\]

Answer 3

solve for a

Answer 4

Thank you!