What is the inverse of fx -13x 2?

Answer 1

To find the inverse of the function ( f(x) = -13x^2 ), we first rewrite it in terms of ( y ): ( y = -13x^2 ). Next, we solve for ( x ) in terms of ( y ): ( x^2 = -\frac{y}{13} ) leads to ( x = \pm \sqrt{-\frac{y}{13}} ). However, since the original function is not one-to-one (it fails the horizontal line test), it does not have a proper inverse across all real numbers. We can restrict the domain to ( x \geq 0 ) or ( x \leq 0 ) to find a valid inverse in those ranges.