Question

Given the function f(x)=3x^2+2 is f^-1(x) a function

Answer 1

Answer:

f^-1(x) is a function

Step-by-step explanation:

To get the inverse you replace f(x) with y, so you get y=3x^2+2. Then you switch your x and y to get x=3y^2+2. Now you want to solve for y, so you subtract two to get x-2=3y^2. You then divide both sides by 3 to get (x-2)/3=y^2. Finally you square root both sides to get y=√((x-2)/3). Now you get that f^-1(x)=√((x-2)/3). When you graph it you can see that the graph passes the vertical line test, so f^-1(x) is a function.