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LenaWriter [7]
2 years ago
15

Given f(x)=3x2+5 and g(x)=x−2. What is (fg)(x)?

Mathematics
1 answer:
siniylev [52]2 years ago
5 0

PURRRRRR:

yeat or cartiiii

ANSWER:

The product of the functions is 3x³ - 6x² + 5x - 10

Composite functions

Given the following functions expressed as

f(x) = 3x² + 5

g(x) = x - 2

In order to determine the value of (fg)x, we will take the product of the functions as shown

f(x)g(x) = 3x²+5)(x-2)

Expand to have;

f(x)g(x) = 3x³ - 6x² + 5x - 10

Hence the product of the functions is 3x³ - 6x² + 5x - 10

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A train travels at 45 mph for 3 h and then increases its speed to 55 mph for 2 more hours. How far does the train travel in the
sammy [17]

Answer:

<h2> 245miles</h2>

Step-by-step explanation:

Step one:

given that the first 3 hours the train travels at a speed of 45 mph.

i.e Time = 3 hours

    speed =45 mph

    distance=?

we know that speed = distance/time

distance= speed*time

distance= 45*3

distance=135miles

Step two:

For the nex two hours it travels at 55 mph

i.e time= 2hours

   speed= 55mph

  distance=?

distance= speed*time

distance= 2*55

 distance= 110mile

Step three:

Hence for a total of 5 hours drive, the total distance covered is

135+110= 245miles

4 0
3 years ago
REPRESENT A PROBLEM: Six friends share 5 meat pies. Each friend first eats half of a meat pie. How much more meat pie does each
lord [1]
I cannot draw a picture, you can.

6 friends multiplied by 1/2 a pie each is 3 pies. That leaves 2 pies to divide evenly among 6 friends. 2/6 = 1/3. One third more pie more for everyone.
7 0
3 years ago
Determine the value of the angle.<br> Angle FDE=
irina [24]

Answer:

angle fde = 37 degree

Step-by-step explanation:

we have,

angle bdc = angle fde

for angle bdc

adf = 90, adb = 53

let the value be x

=>             90+53+x = 180

=>             143+x = 180

=>             x = 180 - 143

=>             x = 37

bdc = 37

so, fde = 37

7 0
3 years ago
Use The function f(x) is graphed below. the graph of the function to find, f(6).
____ [38]
F(6)=2

That is because the 6 in the brackets means x
If f(x) means f(6) x=6

And if you look at the graph where the 6 on the x axis is and look where the graph meets the value of 6 it is on the value of 2 on the y axis
4 0
4 years ago
Read 2 more answers
Which of the following is equivalent to log507 rounded to three decimal places?
Leya [2.2K]

Answer :     0.497 is what i think it is

6 0
4 years ago
Read 2 more answers
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