Find the inverse of f(x)=2x-5
1 answer:
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Answer:
D. y = -(x-5)(2x+1)(x+3)
Step-by-step explanation:
"r" is a zero of the polynomial when (x -r) is a factor.
The three given zeros mean that (x -5), (x -(-1/2)), and (x -(-3)) will be factors of the equation. The product of the constants in these binomials (and any vertical scale factor) must be equal to the y-intercept.
For some scale factor "a", we want ...
(a)(-5)(1/2)(3) = 15
a = 15/(-7.5) = -2
and the desired polynomial function is ...
y = -2(x -5)(x +1/2)(x +3 = -(x -5)(2x +1)(x +3) . . . . matches choice D
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<em>Comment on the answer choices</em>
It's all about the details. The various answer choices differ in various signs, so you need to pay attention.
we know that
If line b is perpendicular to line a, and line c is perpendicular to line a,
then
line b and line c are parallel
and two lines parallel have the same slope
so
<u>Find the slope of the line b</u>
Let
The formula to calculate the slope between two points is equal to
substitute
therefore
<u>the answer is</u>
<u>the slope of the line c is</u>