Free Printable Quiz Operations on Functions

1.

If $f\left(x\right)\ =\ x-1$ and $g\left(x\right)=5x-2$ , then $f\left(x\right)\ +\ g\left(x\right)=$

a)

$5x^2+1$

b)

$5x^2-3$

c)

$6x+1$

d)

$6x-3$

2.

If $f\left(x\right)\ =\ x-1$ and $g\left(x\right)=5x-2$ , then $f\left(x\right)-g\left(x\right)=$

a)

-4x - 3

b)

-4x +1

c)

6x + 1

d)

6x - 3

3.

If $f\left(x\right)\ =\ x-1$ and $g\left(x\right)=5x-2$ , then $f\left(x\right)\cdot g\left(x\right)=$

a)

$5x-3$

b)

$5x^2+2$

c)

$5x^2-7x+2$

d)

$5x-7$

4.

If $f\left(x\right)\ =\ 3x^2-4$ and $g\left(x\right)=x^2-8x+4$ , then $\left(f+g\right)\left(x\right)=$

a)

$4x^4-8x-8$

b)

$4x^4-8x$

c)

$4x^2-8x-8$

d)

$4x^2-8x$

5.

If $f\left(x\right)\ =\ 3x^2-4$ and $g\left(x\right)=x^2-8x+4$ , then $\left(f-g\right)\left(x\right)=$

a)

$2x^2-8x-8$

b)

$2x^2+8x-8$

c)

$2x^2-8x$

d)

$2x^2+8x$

6.

If $f\left(x\right)\ =\ 3x^2-4$ and $g\left(x\right)=x^2-8x+4$ , then $\left(f\cdot g\right)\left(x\right)=$

a)

$3x^4-24x^3+8x^2+32x-16$

b)

$3x^4-8x-16$

c)

$3x^4-24x^3+8x^2-32x-16$

d)

$3x^4-24x^3+16x^2+32x-16$

7.

Given

f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find f(x) + g(x).

a)

11x² - 1

b)

5x⁴ + 6x² - 1

c)

5x² + 6x - 1

d)

5x² + 8x - 1

8.

f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find f(x) - g(x).

a)

x² + 8x + 1

b)

x² + 6x - 1

c)

5x² + 8x - 1

d)

x² + 8x -1

9.

Given f(x) = 3x² - 2x + 1 and g(x) = x - 4, find f(x)*g(x).

a)

3x³ - 10x² - 7x - 4

b)

3x³ - 14x² + 9x - 4

c)

3x² - x - 3

d)

3x³ + 14x² - 9x - 4

10.

. Given: 𝑓(𝑎) = 2𝑎 + 1 and 𝑔(𝑎) = 3𝑎 − 3. Find 𝑓(𝑎) + 𝑔(𝑎)

a)

5𝑎 − 2

b)

−5𝑎 + 2

c)

−2𝑎 + 1

d)

−6𝑎 − 1

11.

What is the sum of the function $\left(f+g\right)\left(x\right)$ ?

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

a)

$x^2+x+4$

b)

$x^2-x-2$

c)

$x^2+x-2$

d)

$x^2-x-3$

12.

What is the product of the function $\left(f\cdot g\right)\left(x\right)$ ?

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

a)

$x^3-3x^2+x-3$

b)

$x^3+3x^2+x+3$

c)

$x^3-3x^2-x+3$

d)

$x^3+3x^2-x+3$

13.

What is the sum of the functions $\left(f+g\right)\left(x\right)$ ?

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

a)

$3x+2$

b)

$3x+4$

c)

$3x-2$

d)

$3x-4$

14.

Given

f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find f(x) + g(x).

a)

11x² - 1

b)

5x⁴ + 6x² - 1

c)

5x² + 6x - 1

d)

5x² + 8x - 1

15.

If $f\left(x\right)\ =\ 3x^2-4$ and $g\left(x\right)=x^2-8x+4$ , then $f\left(x\right)\cdot g\left(x\right)=$

a)

$3x^4-24x^3+8x^2+32x-16$

b)

$3x^4-8x-16$

c)

$3x^4-24x^3+8x^2-32x-16$

d)

$3x^4-24x^3+16x^2+32x-16$

Quiz Operations on Functions

Total questions: 15

Worksheet time: 14mins

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