If f(x) = 3-2x and g(x) =
what is the value of
(၂၀)?
Need help asap

f(x) = 3 - 2x

I'll assume that g(x) was meant as one fraction, giving...

g(x) = 1/(x + 5)  

(f/g)(8) essentially means f(x)/g(x) plug in 8 in place of x. In other words, f(8)/g(8). You can either plug 8 into the functions first then divide the functions simplified numerical values [this is what I prefer] or you can divide the functions first [keeping the x's]  THEN plug in the given plug-in value, in this case it's 8. It's all up to preference, I will be using the first mentioned order.

So you can do this to find f(8):

f(8) = 3 - 2(8)

f(8) = 3 - 16

f(8) = - 13

and now g(8),  

g(8) =  1/(8 + 5)

g(8) = 1/13

Now follow the instruction f(8)/g(8) , this is what we just found individually for each function above. You seriously just plug them in:

- 13 / (1/13)  

To simplify a multi-fraction like this, you can always just flip the bottom fraction and change the division to multiplication:

- 13 * 13/1  

= - 169

NOTE: Thomas did the second order I mentioned above. He divided f(x)/g(x) first without subbing in the values first then he subbed them in. I find it easier to sub in first then divide like I did above because it always seems to save on work BUT the order you choose is whatever you are most comfortable with.

the area of a triangle is determined by the formula: base x height * 1/2

you'll need to assign a base to the triangle. based on the vertices given, the simplest base would be the line segment from (-2,1) to (2,1). the distance between any two numbers is found by just subtracting them. here, you should subtract the x values to find the distance of this side.

2 - (-2) = 4.

so the distance (aka the length of the base) is 4. the height of the triangle is the distance between the base and the highest point on the triangle which is (3,4). we should subtract the y values this time to find the height/distance.

4 - 1 = 3

so the height is 3.

base = 4

height = 3

hope this if needed hmu