Given function g is defined by g:x --> 2x^2 -8x+11 where x < or equal to A WHERE A IS A CONSTANT
(a)state the largest value of A which g has an inverse
Who know how to do this question?!?!?!?!?!!?
Given function g is defined by g:x --> 2x^2 -8x+11 where x < or equal to A WHERE A IS A CONSTANT
(a)state the largest value of A which g has an inverse
Who know how to do this question?!?!?!?!?!!?
That the function has an inverse requires that there be one and only one solution $\displaystyle x$ that gives the value $\displaystyle g(y)$, and then $\displaystyle g(x)=g(y). $ As g(x) is a quadratic this is the case as long as $\displaystyle x<x_0$, where $\displaystyle (x_0,g(x_0))$ is the lowest point on the graph of $\displaystyle y=g(x).$
(Draw a picture)
CB