Modeling Aproaches to Common Functions & Algebra of Functions Flashcards

1
Q

f(x) = -24 and g(x) = -3, find (f*g)(x)

A

(f*g)(x) = 72

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

If f(x) = -24x and g(x) = -8x, find (f/g)(x)

A

(f/g)(x) = 3

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

f(x) = x + 2 and g(x) = 3x + 4, find (f o g)(x)

A

(f o g)(x) = 3x + 6

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

f(x) = 15 and g(x) = -4, find (f*g)(x)

A

(f*g)(x) = -60

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

f(x) = -20x and g(x) = 10x, find (f-g)(x)

A

(f - g)(x) = -30x

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

F(x) = 25x and g(x) = -15x, find (f-g)(x)

A

(f - g)(x) = 40x

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

F(x) = -8x and g(x) = 12x, find (f * g)(x)

A

(f*g)(x) = -96x^2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

F(x0 = 12x^2 and g(x) = -3x, find (f/g)(x)

A

(f/g)(x) = -4x

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

F(x) = 4x and g(x) = 5x, find (f o g)(x)

A

(f o g)(x) = 20x

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

F(x) = 3x -6 and g(x) = 5, find (f o g)(x)

A

(f o g)(x) = 9

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

F(x) = 4x^2 - 0 and g(x) = 2x + 3, find (g/f)(x)

A

1/2x-3

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

F(x) = 4x - 7 and g(x) = 2x + 5, find (f o f)(x)

A

16x - 35

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

What value/s of x is/are not possible to compute or to evaluate the given function? F(x) = -/x+16

A

Numbers less than -16

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

F(x) = 4x-7 and g(x) =2x+5, find (f o g)(x)

A

8x+13

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

F(x) = 4x-7 and g(x) = 2x+5, find (f+g)(x)

A

6x-2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

F(x) = 4x-7 and g(x) = 2x+5, find (g o g)(x)

17
Q

F(x) = 9x^2 - 24x + 16, find f(1/3)

18
Q

F(x) = 4x-7 and g(x) = 2x+5, find (f*g)(x)

A

8x^2 + 6x - 35

19
Q

What value/s is/are not possible to compute or to evaluate the function below? F(x) = (2x-10)/(3x+18)

20
Q

F(x) = 4x^2 - 9 and g(x) = 2x+3, find (f/g)(x)

A

(F/g)(x) = 2x-3

21
Q

F(x) = (6x-9)/ (-/2x-4), find the domain

A

Numbers more than 2 or (2,+oo)

22
Q

A 500- gallon tank initially contains 129 gallons of fuel oil. A pump is filling the tank at the rate of 10 gallons per minute. An outlet pipe discharges 3 gallons of oil per minute. Which is the correct function to represent the amount of fuel oil in the tank?

A

A(x)=129+7x

23
Q

A local store disseminated two types of coupons. One which gives savings of 12% for P2500 or more worth of purchase and the other one exclusive for senior citizen customers which take P120 off the purchase worth P2 500 or more. As a policy, if the two coupons will be presented, P120 off promo will be computed first before giving the promo on 12% savings. Which is the correct composition of function that represents the amount to be paid?

A

(f o g)(x) = 0.88(x-120)

24
Q

A local store disseminated two types of coupons. One which gives savings of 12% for P2500 or more worth of purchase and the other one exclusive for senior citizen customers which take P120 off the purchase worth P2 500 or more. As a policy, if the two coupons will be presented, P120 off promo will be computed first before giving the promo on 12% savings. How much will a senior citizen customer have to pay for an item worth P5000?

25
Q

A 500- gallon tank initially contains 129 gallons of fuel oil. A pump is filling the tank at the rate of 10 gallons per minute. An outlet pipe discharges 3 gallons of oil per minute. In how many minutes will the tank be filled with oil?

A

53 minutes

26
Q

Which of the following will make the function undefined?

F(x) = 3x^2+12x-9 / (2/3)x+(5/4)