Quiz about 3.4 Operations on Functions

Question 1

f(x) = 2x - 2 $$\ \ \ \ \ \ \ \ \ \ $$ h(x) = $$x^2$$ $$\ \ \ \ \ \ \ \ \ \ $$ k(x) = $$x^2$$ - 4

g(x) = x + 1 $$\ \ \ \ \ \ \ \ \ \ $$ j(x) = $$x^2$$ -3x - 4 $$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ $$

Find: $$(k-h)(x)$$

Accepted Answer

$$-4$$

Answer

$$2x^2-4$$

Answer

$$x^2+4$$

Answer

$$-3$$

Question 2

f(x) = 2x - 2 $$\ \ \ \ \ \ \ \ \ \ $$ h(x) = $$x^2$$ $$\ \ \ \ \ \ \ \ \ \ $$ k(x) = $$x^2$$ - 4

g(x) = x + 1 $$\ \ \ \ \ \ \ \ \ \ $$ j(x) = $$x^2$$ -3x - 4 $$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ $$

Find: $$(g\cdot f)(x)$$

Accepted Answer

$$2x^2-2$$

Answer

$$2x^3-2x$$

Answer

$$2x^2-4x-2$$

Answer

$$2x^{ }-2$$

Question 3

When f(x) = x²+9 and 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 4

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

Accepted Answer

$$\frac{x-1}{5x-2}$$

Answer

$$\frac{5x-2}{x-1}$$

Answer

$$\frac{-1}{3}$$

Answer

$$-3$$

Question 5

f(x) = 2x and g(x) = 2x-7

Find (f-g)(4).

Accepted Answer

7

Answer

0

Answer

-9

Answer

-8

Question 6

Given f(x) = x² + 5 and g(x) = 2x³ - 1,
find (f/g)(-3).

Accepted Answer

-14/55

Answer

14/55

Answer

2

Answer

-2

Question 7

f(x) = 2x - 2 $$\ \ \ \ \ \ \ \ \ \ $$ h(x) = $$x^2$$ $$\ \ \ \ \ \ \ \ \ \ $$ k(x) = $$x^2$$ - 4

g(x) = x + 1 $$\ \ \ \ \ \ \ \ \ \ $$ j(x) = $$x^2$$ -3x - 4 $$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ $$

Find: $$(f+j)(x)$$

Accepted Answer

$$x^2-x-6$$

Answer

$$x^2+x-6$$

Answer

$$x^2-x+6$$

Answer

$$x^2-6$$

Question 8

f(x) = 2x - 2 $$\ \ \ \ \ \ \ \ \ \ $$ h(x) = $$x^2$$ $$\ \ \ \ \ \ \ \ \ \ $$ k(x) = $$x^2$$ - 4

g(x) = x + 1 $$\ \ \ \ \ \ \ \ \ \ $$ j(x) = $$x^2$$ -3x - 4 $$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ $$

Find: $$(h\cdot f)(x)$$

Accepted Answer

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

Answer

$$2x^2-2x$$

Answer

$$2x^3-2x$$

Answer

$$2x^2-2x^2$$

Question 9

Given the functions, evaluate (g-f)(3).

Accepted Answer

-12

Answer

10

Answer

6-6x

Answer

18-18x

Question 10

Given the functions, evaluate (g+f)(2).

Accepted Answer

12

Answer

-12

Answer

-2x+16

Answer

-4x+32

Question 11

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

Accepted Answer

$$\frac{3x^2-4}{x^2-8x+4}$$

Answer

$$\frac{x^2-8x+4}{3x^2-4}$$

Answer

$$\frac{3x^2-1}{x^2-8x}$$

Answer

$$\frac{1}{-4x}$$

3.4 Operations on Functions

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