Answer :
f(x) = 0 for x = -2 and x = 3. These are the points where the graph of f(x) crosses the x-axis.
From the graph, we can see that the values of x for which f(x) = 0 are the points where the graph of f(x) crosses the x axis. These points are x = -2 and x = 3
Another way to find these values is to solve the equation f(x) = 0. From the graph, it looks like(x) is a quadratic function. To solve a quadratic equation, we can use the quadratic formula:
x = [tex]\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
where a, b, and c are the coefficients of the quadratic equation.
in this case, the quadratic equation is:
f(x) = [tex]ax^2[/tex]+ bx + c = 0
We can read the coefficients from the graph as follows:
a = -1
b = -1
c = 3
Substituting these values into the quadratic formula, we get:
x = [tex]\frac{+1 \pm \sqrt{(-1)^2 - 4 * -1 * 3}}{2 * -1}[/tex]
x =[tex]\frac{1 \pm \sqrt{13}}{-2}[/tex]
x = [tex]\frac{1 \pm \sqrt{13}}{-2}[/tex]
Therefore, the values of x for which f(x) = 0 are x = -2 and x = 3
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