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Algebra
Question

Find the equation of the rational function \( f \)...

Find the equation of the rational function \( f \) whose graph satisfies the conditions: Horizontal asymptote is \( y = 0 \) vertical asymptotes are \( x = 2 , x = 4 , y - \) intercept is \( 7 \) 

\( f ( x ) = \frac { 7 ( x + 56 ) } { x ^ { 2 } - 6 x + 8 } \) 

\( f ( x ) = \frac { x - 7 } { x ^ { 2 } - 6 x + 8 } \) 

\( f ( x ) = \frac { x + 56 } { x ^ { 2 } - 6 x + 8 } \) 

\( f ( x ) = \frac { x ^ { 2 } - 6 x + 8 } { x + 56 }\) 

Answer

\(f(x)= \frac{x+ 56}{x^{2}- 6x+ 8 }\)

Solution
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