Questions: 7/8 x inverse notation negative

Solution Steps

To find the inverse of a function, we need to swap the roles of the dependent and independent variables and solve for the new dependent variable. In this case, we have the expression \(\frac{7}{8x}\). We will treat this as a function \(y = \frac{7}{8x}\), swap \(x\) and \(y\), and solve for \(y\) to find the inverse function.

The original function is given by: \[ y = \frac{7}{8x} \]

To find the inverse, swap \(x\) and \(y\): \[ x = \frac{7}{8y} \]

Solve the equation for \(y\) to express the inverse function: \[ 8y = \frac{7}{x} \] \[ y = \frac{7}{8x} \]

Final Answer