What is the extreme f(x)=(7(x-1)^2)/(x+9),(-21,-9) ?

The extreme f(x)=(7(x-1)^2)/(x+9),(-21,-9) is Maximum(-19,-280)

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extreme f(x)=(7(x-1)^2)/(x+9),(-21,-9)

extreme

Maximum (- 19, - 280)

Solution steps

Find the critical points:

x = - 19

Domain of

\frac{7 ( x - 1 ) ^{2}}{x + 9}, (- 21, - 9) : - 21 < x < - 9

Find intervals:

Increasing

: - 21 < x < - 19,

Decreasing

: - 19 < x < - 9

Plug the extreme point

x = - 19

into

\frac{7 ( x - 1 ) ^{2}}{x + 9} \Rightarrow y = - 280

Maximum (- 19, - 280)

What is the extreme f(x)=(7(x-1)^2)/(x+9),(-21,-9) ?
The extreme f(x)=(7(x-1)^2)/(x+9),(-21,-9) is Maximum(-19,-280)