Find the value(s) of $x$ for which $f ( x ) = g ( x )$.
$f ( x ) = x ^ { 2 } - 11 x - 36 \quad g ( x ) = - 7 x - 4$

A) $- 36 , - 25 , - \frac { 4 } { 7 }$

B) $- 36 , - 11 , - \frac { 4 } { 7 }$

C) $8 , - 4$

D) $- 8,4$

E) $47 , - \frac { 4 } { 7 }$

Question

Find the value(s) of $x$ for which $f ( x ) = g ( x )$.
$f ( x ) = x ^ { 2 } - 11 x - 36 \quad g ( x ) = - 7 x - 4$

A) $- 36 , - 25 , - \frac { 4 } { 7 }$

B) $- 36 , - 11 , - \frac { 4 } { 7 }$

C) $8 , - 4$

D) $- 8,4$

E) $47 , - \frac { 4 } { 7 }$

Quizplus · Accepted Answer

To find the value(s) of $x$ for which $f(x) = g(x)$, set $f(x)$ equal to $g(x)$ and solve for $x$:$$x^2 - 11x - 36 = -7x - 4$$Rearrange the equation to get everything on one side:$$x^2 - 11x + 7x - 36 + 4 = 0$$$$x^2 - 4x - 32 = 0$$Factor the quadratic equation:$$(x - 8)(x + 4) = 0$$Set each factor equal to zero and solve for $x$:$$x - 8 = 0 \Rightarrow x = 8$$$$x + 4 = 0 \Rightarrow x = -4$$Therefore, the values of $x$ for which $f(x) = g(x)$ are $8$ and $-4$.

Find the Value(s) Of xxx For Which f(x)=g(x)f ( x ) = g ( x )f(x)=g(x)

Find the Value(s) Of $x$ For Which $f ( x ) = g ( x )$