Consider the function f(x) = x2 + 2x – 15. What are the x-intercepts of the function?
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Answer:
Step-by-step explanation:
We can find the inverse function of this excercise, isolating X and then changing the variables.
And now we change the variables and we get the inverse function:
The given equation is:
To find the line perpendicular to it, we interchange coefficients and switch the signs of one coefficient.
The equation to a line perpendicular to it is:
$ 2y-x=c$
where, $c$ is some constant we have determine using the condition given.
It passes through $(2,-1)$
Put the point in our equation:
$2(-1)-(2)=c$
$c=-2-2$
$c=-4$
The final equation is:
$\boxed{ 2y-x=-4}$