All categories

4 years ago

For the rational function f(x)=x-2/3x^2+x-2, fill in the points on the graph at the function value f(x)=2.

Mathematics

1 answer:

Arisa [49]4 years ago

6 0

Answer:

(-2/3, 2), (1/2, 2)

Step-by-step explanation:

A graphing calculator can show you those points: (-2/3, 2), (1/2, 2).

Put the given value in the equation and solve for x.

2 = f(x)

2 = (x -2)/(3x^2 +x -2)

2(3x^2 +x -2) -(x -2) = 0 . . . . . multiply by the denominator; put in standard form

6x^2 +x -2 = 0 . . . . . collect terms

(3x +2)(2x -1) = 0 . . . factor

Solutions are values of x that make the factors zero:

x = -2/3, x = 1/2

Then the points on the graph are (-2/3, 2) and (1/2, 2).

You might be interested in

True or False?

lord [1]

<span>If you limited the input values to those between zero and the length of the catwalk, there would be at least one output value for every input value, this would be a true statement.

HOPE THIS HELPS! ^_^</span>

8 0

4 years ago

Evaluate each algebraic expression for given value of the variable

crimeas [40]

I don't even know how to answer this I'm just extremely bored don't hate me for this but I'm just gonna go ahead and talk about me and my problem with my crush so a couple months ago I got a crush for the second time in my entire life and I'm going to marry him but he doesn't know it yet(；一_一)anyways so my friends kept pushing me into him and we r in 7th grade and he is in 8th like come on we r not in 2nd grade so I can tell he was getting annoyed and one time he even sed watch it in the quietest sweetest voice ever(ಥ﹏ಥ)so I was like Ok guys stop and they still try to push me but I don't let then but anyways I could also tell he got annoyed when I look at him so I stopped and now he the one looking and me and he started to walk rly close to me to and wherever I go I always see him I'm so happy. (ಥ﹏ಥ)so ya and then I finally gathered up the courage to follow him on instagram and my friends are telling me to dm him but idk if I want to... mabey I should just let him come to me idk but ya that's what's happening baiiiiii.(´・ω・`)

8 0

3 years ago

PLEASE HELP I AM SO CONFUSED

nata0808 [166]

Answer:

What do you need help with? Comment it and I will try my best to help you

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

The path a character takes to navigate a level of a video game is given in the following graph.

mylen [45]

The domain is the set of x values that has a corresponding y-values in a function or a graph.

The domain of the graph is: $-10 \le x \le 10$

From the graph (see attachment), we have the following observation

The value of x starts from -10 (represented by the horizontal line from (-10,4) to (-4,4))
The value x ends at 10 (represented by the slant line on the first quadrant)

These values can be represented as:

$x_1= -10$

$x_2 = 10$

So, the domain of x is: $-10 \le x \le 10$