## kayser Group Title what domain restriction should be used for the function f(x) = x2 - 6x + 9 so that it will have an inverse function? 2 years ago 2 years ago

1. BlingBlong

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

2. across

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

3. kayser

oh great, thank you

4. BlingBlong

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

5. wasiqss

sussane can u cum to twiddla now plz plz