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. \[ d \text { varies directly with } w \text { and inversely with the square root of } p \] In your equation, use \( k \) as the constant of proportionality.

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

a. \( x^{2}=49 \)

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

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