Quiz about Function Operations and Composition of Functions

Question 1

f(x) = 9-3x
g(x) = 5x-7
Find f(x)+g(x).

Accepted Answer

2x+2

Answer

14x-10

Answer

-8x+2

Answer

2x-2

Question 2

f(n)= n²+ 4n

g(n)= - n - 5

Find f(n) + g(n)

Accepted Answer

n²+ 3n - 5

Answer

-n³+ 2n - 7

Answer

n³+ 3n - 3n

Answer

n²- 3n - 5

Question 3

$$If\ f\left(x\right)=x^2+3x+2\ \ and\ \ g\left(x\right)=-3x+1$$
Find $$\left(f+g\right)\left(-2\right)$$

Accepted Answer

7

Answer

-3

Answer

3

Answer

-7

Question 4

$$If\ f\left(x\right)=3x^2-2x+1\ $$

$$Find\ f\left(4\right)+f\left(-2\right)$$

Accepted Answer

58

Answer

-52

Answer

-7

Answer

63

Question 5

f(n)=2n+1
g(n)=3n
Find f(n)+g(n)

Accepted Answer

5n+1

Answer

-5n+1

Answer

-2n+1

Answer

-6n-1

Question 6

f(x) = x²+9
g(x) = x-9
Find f(x)-g(x).

Accepted Answer

x2-x+18

Answer

x2+x+9

Answer

x2-x+9

Answer

x2-x

Question 7

$$If\ f\left(x\right)=x^2+3x+2\ \ and\ \ g\left(x\right)=-3x+1$$
Find $$\left(g-f\right)\left(-3\right)$$

Accepted Answer

8

Answer

-3

Answer

0

Answer

4

Question 8

f(x) = 4x+8
g(x) = x+3,
Find f(x) * g(x)

Accepted Answer

4x²+20x+24

Answer

4x2+24

Answer

4x²+12x+24

Answer

4x2+4x+24

Question 9

$$If\ f\left(x\right)=2x+1\ \ and\ \ g\left(x\right)=3x+2$$

$$Find\ \left(f\circ g\right)\left(x\right)$$

Accepted Answer

f(g(x)) = 6x + 5

Answer

f(g(x)) = 6x + 4

Answer

f(g(x)) = 5x + 8

Answer

f(g(x)) = 5x + 5

Question 10

$$If\ f\left(x\right)=x^2-5\ \ and\ \ g\left(x\right)=2x-3$$

$$Find\ \left(g\circ f\right)\left(2\right)$$

Accepted Answer

-5

Answer

-3

Answer

0

Answer

2

Question 11

$$If\ f\left(x\right)=2x^2+3\ \ and\ \ g\left(x\right)=2x-1$$

$$Find\ \left(f\circ g\right)\left(-3\right)$$

Accepted Answer

$$f\left(g\left(-3\right)\right)=101$$

Answer

$$f\left(g\left(-3\right)\right)=83$$

Answer

$$f\left(g\left(-3\right)\right)=89$$

Answer

$$f\left(g\left(-3\right)\right)=99$$

Question 12

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of f(g(4)).

Accepted Answer

182

Answer

40

Answer

61

Answer

None of the Above

Question 13

p(x) = 3x + 4
q(x) = 2x²
Find p(p(-3))

Accepted Answer

-11

Answer

-9

Answer

7

Answer

None of these

Question 14

$$g\left(f\left(2\right)\right)$$

Accepted Answer

3

Answer

5

Answer

-1

Answer

2

Question 15

$$g\left(g\left(-5\right)\right)$$

Accepted Answer

-0.25

Answer

1

Answer

3

Answer

-1

Function Operations and Composition of Functions

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics