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Dimas [21]
3 years ago
8

If f(x)= 3x-1 and g(x)= x+2, find (f-g)(x).

Mathematics
2 answers:
mestny [16]3 years ago
8 0
F(x) = 3x-1
g(x) = x+2

Find (f-g)(x), this means we need to subtract g from x.

(3x-1) - (x+2)

Subtract the like terms:

3x -x = 2x

-1 -2 = -3

Combine them to get 2x-3

The answer is A.
Vladimir [108]3 years ago
6 0

Answer:

Option A.

Step-by-step explanation:

The given functions are

f(x)=3x-1

g(x)=x+2

we need to find the function (f-g)(x).

Using the composition of functions the subtraction of two functions is defined as

(f-g)(x)=f(x)-g(x)

Substitute the given values of functions f(x) and g(x).

(f-g)(x)=(3x-1)-(x+2)

(f-g)(x)=3x-1-x-2

On combining line terms we get

(f-g)(x)=(3x-x)+(-1-2)

(f-g)(x)=2x-3

Therefore, the correct option is A.

You might be interested in
Is (-5,-8) a solution of y>3x+6
yuradex [85]

Answer:

yes

Step-by-step explanation:

To figure out if a point works with it's equation, you should replace the x and y with the point you got

-8 > 3(-5)+6

-8 > -15 +6

-8 > -9

Since -8 is bigger than -9, point (-5,-8) is true to the equation.

and as seen in the graph I have attached, the point does infact reside in the shaded in area. If you haven't learned how to graph this type of equation, you may disregard the graph :)

If you have any questions at all, don't be afraid to ask :)

3 0
3 years ago
Find the equation of line that contains point (2,9) and is parallel to the line y=-5x+7?
kotegsom [21]

Answer:

y = -5x + 19

Step-by-step explanation:

Note that the equation of any line parallel to y= -5x+7 has the same form as y= -5x+7, but a different constant.  Knowing that this new line passes thru (2,9), we determine the value of this constant as follows:  9 = -5(2) + C, or 9 = -10 + C.  Then C = 19, and the equation of this new line is

y = -5x + 19

6 0
3 years ago
What is the value of the expression below when y = 4 and y = 2? 4x + 10y
MrRa [10]

Step-by-step explanation:

I ᴛʜɪɴᴋ ᴛʜɪs ǫᴜᴇsᴛɪᴏɴ ɪs ᴡʀᴏɴɢ. ᴄʜᴇᴄᴋ ʏᴏᴜʀ ǫᴜᴇsᴛɪᴏɴ ᴏɴᴄᴇ ᴘʟᴇᴀsᴇ.

3 0
3 years ago
I am not quite sure how to do these.
EleoNora [17]
Sin (Π/2 - theta) = sin(Π/2) * cos(theta) - cos(Π/2) * sin (theta)
and as we know sin(Π/2) =1 , cos(Π/2)=0
so sin(Π/2 - theta) = 1* cos(theta) - 0* sin(theta)= cos(theta)
2nd cos(180+ theta) = cos(180)*cos(theta) - sin(180)* sin(theta)
,,, so , cos(180+theta) = -cos(theta)
6 0
4 years ago
0.00045-2.5*10^-5 in scientific notation?
expeople1 [14]

Answer:

The answer is 4.25*10^−4

Step-by-step explanation:

First convert 2.5*10^-5 into decimal form

That's

2.5*10^-5 = 0.000025

0.00045 - 0.000025 = 0.000425

= 4.25*10^−4 in scientific notation

Hope this helps

7 0
4 years ago
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