Question

Find k such that the line is tangent to the graph of the function.

Function f(x) = k√x
Line: y = 3x + 12

Answer 1

To find the value of k such that the line is tangent to the graph of the function, set the line equation equal to the function equation and solve for k.

Step-by-step explanation:

To find the value of k such that the line is tangent to the graph of the function, we need to find the point at which the line intersects the graph. Since the line has the equation y = 3x + 12 and the function has the equation f(x) = k√x, we can set them equal to each other: 3x + 12 = k√x. To find k, we can choose a value of x and solve for k.