what domain restriction should be used for
the function f(x) = x2 - 6x + 9 so that it will have an inverse function?

Question

anonymous · Answer

Find the vortex of the equation as you can tell it is a parabola, then restrict the domain so it can pass the horizontal line test

The horizontal line test dictates that a line drawn across a graph should not intersect the line more than once. For a function to have an inverse it must pass this test

across · Answer

$$f(x)=x^2-6x+9=(x-3)^2.$$Obviously, $f:[3,\infty)\to\mathbb{R}$ or $f:(-\infty,3]\to\mathbb{R}$.

anonymous · Answer

oh great, thank you

anonymous · Answer

Hint the x coordinated for the vertex can be found by inputting
a = 1
b = -6

into the equation -(b/a(2)) = x coordinate

wasiqss · Answer

sussane can u cum to twiddla now plz plz