Question

Consider the graph of the function \( f(x)=\frac{x^{2}+7 x}{x^{3}-5 x^{2}-14 x} \). Where is the removable discontinuity? Give only the \( x \)-value. Provide your answer below: \[ x= \]

          Consider the graph of the function \( f(x)=\frac{x^{2}+7 x}{x^{3}-5 x^{2}-14 x} \).
Where is the removable discontinuity? Give only the \( x \)-value.

Provide your answer below:
\[
x=
\]

Consider the graph of the function f(x)=(x^2+7 x)/(x^3-5 x^2-14 x).
Where is the removable discontinuity? Give only the x-value.

Provide your answer below:

x=

Added by Joel W.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Derrick Danso

Step 1

The numerator \( x^2 + 7x \) can be factored as: \[ x(x + 7) \] The denominator \( x^3 - 5x^2 - 14x \) can be factored by first factoring out an \( x \): \[ x(x^2 - 5x - 14) \] Show more…

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Consider the graph of the function \( f(x)=\frac{x^{2}+7 x}{x^{3}-5 x^{2}-14 x} \). Where is the removable discontinuity? Give only the \( x \)-value. Provide your answer below: \[ x= \]