he holes of the graph of a rational function are determined by finding values of \( x \) such that \( (x-a) \) is a common factor of the numerator and the \[ g(x)=\frac{(x-7)(x+5)}{(x-6)(x+6)} \] The factored rational function -Select-v have any common factors with values that make the denominator zero. Find any holes of the graph. (If an answer does not exist, enter DNE.) \( (x, y)=( \)

Write an equation that expresses the following relationship. \( u \) varies directly with \( p \) and inversely with \( d \) In your equation, use \( k \) as the constant of proportionality. पा]

A one-to-one function is given. Write an equation for the inverse function. \( s(x)=\frac{2}{x+4} \) \( s^{-1}(x)=\square \)

Write an equation that expresses the following relationship. \( p \) varies jointly. with \( d \) and the square root of \( u \) In your equation, use \( k \) as the constant of proportionality. \( \square=\square \quad \frac{\square}{\square} \)

b. \( x^{2}+2 x=15 \)

d. \( 2 x^{2}+27=-21 x \)