Questions: Identify the y-intercept of the graph of R(x)=20(x-1)/(x+1)(x+4). Choose the correct y-intercept below. -5 -1 4

Solution Steps

To find the y-intercept of the rational function \( R(x) = \frac{20(x-1)}{(x+1)(x+4)} \), we need to evaluate the function at \( x = 0 \). The y-intercept is the value of \( R(x) \) when \( x = 0 \).

To find the y-intercept of the rational function \( R(x) = \frac{20(x-1)}{(x+1)(x+4)} \), we need to evaluate the function at \( x = 0 \).

Substitute \( x = 0 \) into the function: \[ R(0) = \frac{20(0-1)}{(0+1)(0+4)} \]

Simplify the expression: \[ R(0) = \frac{20(-1)}{(1)(4)} = \frac{-20}{4} = -5 \]

Final Answer