Q.28 If f(x)=x-4x-4+a , if x<4a+b , if x=4x-4x-4 , if x>4 is continous at x=4, find a,b.

Q.28 If $f (x) = \{\begin{matrix} \frac{x - 4}{|x - 4|} + a, i f x < 4 \\ a + b, i f x = 4 \\ \frac{x - 4}{|x - 4|}, i f x > 4 \end{matrix}$ is continous at x=4, find a,b.

$f (x) = \{\begin{matrix} \frac{\sin (a + 1) x + \sin x}{x}, f o r x < 0 \\ x, f o r x = 0 \\ \frac{\sqrt{x + b x^{2}} - \sqrt{x}}{b x^{\frac{3}{2}}}, f o r x > 0 \end{matrix}$

Put the parts in order to form a sentence. When you think your answer is correct, click on "Check" to check your answer. If you get stuck, click on "Hint" to find out the next correct part.

Q.28 If f(x)=x-4x-4+a , if x<4a+b , if x=4x-4x-4 , if x>4 is continous at x=4, find a,b.

f(x)=sina+1x+sinxx, for x<0x, for x=0x+bx2-xbx32, for x>0

Q.28 If $f (x) = \{\begin{matrix} \frac{x - 4}{|x - 4|} + a, i f x < 4 \\ a + b, i f x = 4 \\ \frac{x - 4}{|x - 4|}, i f x > 4 \end{matrix}$ is continous at x=4, find a,b.

$f (x) = \{\begin{matrix} \frac{\sin (a + 1) x + \sin x}{x}, f o r x < 0 \\ x, f o r x = 0 \\ \frac{\sqrt{x + b x^{2}} - \sqrt{x}}{b x^{\frac{3}{2}}}, f o r x > 0 \end{matrix}$