You can
put this solution on YOUR website!(1) find the x- intercepts of the graph of f(x) =2x^2-4x-4.
| Solved by pluggable solver: SOLVE quadratic equation with variable |
Quadratic equation  (in our case  ) has the following solutons:
For these solutions to exist, the discriminant  should not be a negative number.
First, we need to compute the discriminant :  .
Discriminant d=48 is greater than zero. That means that there are two solutions:  .
Quadratic expression  can be factored:
Again, the answer is: 2.73205080756888, -0.732050807568877.
Here's your graph:
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(2) find all the vertical asymptotes for g(x)=(x^2-4)/(x+2)
where the vertical asymptote is the deleted denominator
so
is also expressed as:
that is the vertical asymptote
In the line below, the point as (-2,-4) doesn't exist....
| Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc |
Equation  describes a sloping line. For any
equation ax+by+c = 0, slope is  .- X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. -2/-1 = 2.
- Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is -2/1 = -2.
- Slope is --1/1 = 1.
- Equation in slope-intercept form: y=1*x+-2.
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(3) find
(x) if f(x) =3x-5 and g(x)x^2+1
Just plug in g(x) as 'x' for f(x)....
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