Find the value(s) of $x$ for which $f ( x ) = g ( x )$.
$f ( x ) = x ^ { 2 } - 7 x + 3 \quad
g ( x ) = - 3 x + 8$
A) $3,10 , \frac { 8 } { 3 }$
B) $3 , - 7 , \frac { 8 } { 3 }$
C) $5 , - 1$
D) $- 5,1$
E) $4 , \frac { 8 } { 3 }$

Question

Quizplus · Accepted Answer

To find the values of $x$ for which $f(x) = g(x)$, set the two functions equal to each other and solve for $x$:$$x^2 - 7x + 3 = -3x + 8$$Rearrange the equation to get everything on one side:$$x^2 - 7x + 3x - 8 + 3 = 0$$$$x^2 - 4x - 5 = 0$$Factor the quadratic equation:$(x - 5)(x + 1) = 0$Solve for $x$:$x = 5$ or $x = -1$Therefore, the values of $x$ for which $f(x) = g(x)$ are $5$ and $-1$.

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 $f ( x ) = g ( x )$