How can you find the inverse of a function algebraically? aPlot the function on a number line and reverse the way the arrows are facing. bGraph the function and reflect it across the x-axis. cRewrite the equation by switching y and x. Then, solve for y. dGraph the function and reflect it across the y-axis.

The correct answer is c. Here are the steps to find the inverse of a function algebraically:

1. Write down the function: For example, if you have the function f(x) = 2x + 3, write it down as it is.

2. Switch x and y: Rewrite the function by replacing f(x) with y, and then switch the roles of x and y. So, y = 2x + 3 becomes x = 2y + 3.

3. Solve for y: Now, solve the equation for y. In this case, you would subtract 3 from both sides to get x - 3 = 2y, and then divide both sides by 2 to get y = (x - 3) / 2.

4. Write the inverse: The equation you have now, y = (x - 3) / 2, is the inverse of the original function. You can write it as f^-1(x) = (x - 3) / 2.

Remember, the inverse of a function is a reflection of the function across the line y = x, not the x-axis or the y-axis.