- #1

karush

Gold Member

MHB

- 3,269

- 5

\dfrac{(2x+1)(x-2)}{x-2}, &\text{for } x\ne 2 \\[3pt] k, &\text{for } x=2 \\

\end{cases}$

for what number k will the function be continuous

a. 0 b. 1 c. 2 d. 3 e. 5

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I chose

[e] x is undefined at $x=2$ so

rewrite as $2x+1$

plug in $f(2)=2(2)+1=5=k$

hopefully

probably suggestions etc