Question 1

Given $$f(x) = x^2$ + 4$$ and $$g(x) = 5x + 7$$, what is $$f(x) + g(x)$$?

Accepted Answer

$$x^2 + 5x + 11$

Question 2

If $$f(x) = x^2$ + 4$$ and $$g(x) = 5x + 7$$, what is $$f(x) - g(x)$$?

Accepted Answer

$$x^2 - 5x - 3$

Question 3

Given $$f(x) = \sqrt{x}$$ and $$g(x) = 3x - 6$$, what is the domain of $$f(x) \cdot g(x)$$?

Accepted Answer

$$x \geq 0$$

Question 4

Given $$f(x) = \sqrt{x}$$ and $$g(x) = 3x - 6$$, what is the domain of $$\dfrac{f(x)}{g(x)}$$?

Accepted Answer

Question 5

Given $$f(x) = x^2$ + 4$$ and $$g(x) = 5x + 7$$, what is the domain of $$f(x) + g(x)$$?

Accepted Answer

All real numbers

Question 6

Given $$f(x) = \sqrt{x}$$ and $$g(x) = 3x - 6$$, what is the domain of $$f(x) \cdot g(x)$$?

Accepted Answer

$$x \geq 0$$

Question 7

Given $$f(x) = \sqrt{x}$$ and $$g(x) = 3x - 6$$, what is the domain of $$\dfrac{f(x)}{g(x)}$$?

Accepted Answer

Question 8

Given $$h(x) = 2x^2$ + 4$$ and $$k(x) = x^2$, what is h(x) - k(x$$)$$?

Accepted Answer

$$x^2 + 4$

Question 9

Given $$f(x) = x^2$ + 4$$ and $$g(x) = 5x + 7$$, what is $$f(x) \cdot g(x)$$?

Accepted Answer

$$(x^2 + 4)(5x + 7$$)$$

Question 10

Given $$f(x) = x^2$ + 4$$ and $$g(x) = 5x + 7$$, what is $$\dfrac{f(x)}{g(x)}$$?

Accepted Answer

$$\dfrac{x^2$ + 4}{5x + 7}$$

Question 11

Given $$f(x) = \sqrt{x}$$ and $$g(x) = 3x - 6$$, what is the domain of $$\dfrac{f(x)}{g(x)}$$?

Accepted Answer

$$x \geq 0$$ and $$x 
eq 2$$

Question 12

If $$f(x) = x^2$ + 4$$ and $$g(x) = 5x + 7$$, what is the domain of $$\dfrac{f(x)}{g(x)}$$?

Accepted Answer

All real numbers except $$x = -\dfrac{7}{5}$$

Question 13

Given $$f(x) = x^2$ + 4$$ and $$g(x) = 5x + 7$$, what is $$f(x) \cdot g(x)$$ fully expanded?

Accepted Answer

$$5x^3$$ + $$7x^2 + 20x + 28$

Question 14

Given $$h(x) = 2x^2$ + 4$$ and $$k(x) = x^2$, what is h(x) - k(x$$)$$?

Accepted Answer

$$x^2 + 4$

Question 15

Given $$f(x) = x^2$ + 4$$ and $$g(x) = 5x + 7$$, what is $$f(x) - g(x)$$?

Accepted Answer

$$x^2 - 5x - 3$

Function Operations: Addition, Subtraction, Multiplication, and Division of Functions

Study Guide - Practice Questions