$x \in \mathbb{R}, x \neq -\frac{7}{5}$

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

Given $f(x) = \sqrt{x+4} + 30$ and $g(x) = \sqrt{x+4} - 2x + 35$, what is the domain of $f(x) + g(x)$?

Accepted Answer

$x \geq -4$

Question 3

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

Question 4

Given $L(x) = x - 2$ and $M(x) = x^3$, what is $L(M(5))$?

Accepted Answer

$-20$

Question 5

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 6

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

Accepted Answer

$x \geq 0, x 
eq 2$

Question 7

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

Accepted Answer

$x^2 - 5x - 3$

Question 8

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

Accepted Answer

$x \in \mathbb{R}$

Question 9

If $f(x) = \sqrt{x+4} + 30$ and $g(x) = \sqrt{x+4} - 2x + 35$, what is $f(x) - g(x)$?

Accepted Answer

$2x - 5$

Question 10

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

Accepted Answer

$3x^2 - 2$

Question 11

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

Accepted Answer

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

Question 12

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

Accepted Answer

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

Question 13

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

Accepted Answer

$x \in \mathbb{R}, x 
eq -\frac{7}{5}$

Question 14

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

Accepted Answer

$\sqrt{x}(3x - 6)$

Question 15

If $f(x) = \sqrt{x}$ and $g(x) = 3x - 6$, what is $\frac{f(x)}{g(x)}$?

Accepted Answer

$\frac{\sqrt{x}}{3x - 6}$

Question 16

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

Accepted Answer

$x \in \mathbb{R}$

Question 17

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

Accepted Answer

$x \in \mathbb{R}$

Question 18

Given $f(x) = \sqrt{x+4} + 30$ and $g(x) = \sqrt{x+4} - 2x + 35$, what is the domain of $f(x) - g(x)$?

Accepted Answer

$x \geq -4$

Operations with Functions: Addition, Subtraction, Multiplication, and Division

Study Guide - Practice Questions