Question 1

Given $f(x) = 2x + 3$ and $g(x) = x^2 - 1$, what is $(f + g)(2)$?

Accepted Answer

$8$

Question 2

If $f(x) = x^2$ and $g(x) = 3x - 4$, what is $(f \cdot g)(-2)$?

Accepted Answer

$-28$

Question 3

Let $f(x) = x + 1$ and $g(x) = 2x$. What is the domain of the function $\frac{f}{g}$?

Accepted Answer

All real numbers except $x = 0$

Question 4

Given $f(x) = x^2$ and $g(x) = \sqrt{x}$, what is $(f \circ g)(4)$?

Accepted Answer

$4$

Question 5

If $f(x) = 3x - 2$ and $g(x) = x^2$, what is $(g - f)(1)$?

Accepted Answer

$0$

Question 6

Given $f(x) = x^2 + 1$ and $g(x) = x - 2$, what is $(f \cdot g)(3)$?

Accepted Answer

$20$

Question 7

Let $f(x) = x^2$ and $g(x) = x + 1$. What is $(f \circ g)(2)$?

Accepted Answer

$9$

Question 8

If $f(x) = x^2$ and $g(x) = \frac{1}{x}$, what is $(f \div g)(2)$?

Accepted Answer

$8$

Question 9

Given $f(x) = x^2$ and $g(x) = 2x$, what is $(f + g)(-3)$?

Accepted Answer

$3$

Question 10

Let $f(x) = x^2$ and $g(x) = x - 1$. What is $(f \circ g)(4)$?

Accepted Answer

$9$

Question 11

If $f(x) = x^2$ and $g(x) = x + 2$, what is $(f - g)(-1)$?

Accepted Answer

$-3$

Question 12

Given $f(x) = x^2$ and $g(x) = x + 1$, what is $(g \circ f)(2)$?

Accepted Answer

$5$

Question 13

Let $f(x) = x^2$ and $g(x) = \sqrt{x}$. What is the domain of $(f \circ g)(x)$?

Accepted Answer

$x \geq 0$

Question 14

If $f(x) = x^2$ and $g(x) = x + 1$, what is $(f \cdot g)(-2)$?

Accepted Answer

$-12$

Question 15

Given $f(x) = x^2$ and $g(x) = x - 1$, what is $(f \div g)(3)$?

Accepted Answer

$4$

Question 16

Let $f(x) = x^2$ and $g(x) = x + 1$. What is $(f + g)(-1)$?

Accepted Answer

$-1$

Question 17

If $f(x) = x^2$ and $g(x) = x + 2$, what is $(g \circ f)(-2)$?

Accepted Answer

$6$

Question 18

Given $f(x) = x^2$ and $g(x) = x - 1$, what is $(f - g)(2)$?

Accepted Answer

$3$

Question 19

Let $f(x) = x^2$ and $g(x) = x + 1$. What is $(f \circ g)(-1)$?

Accepted Answer

$4$

Question 20

If $f(x) = x^2$ and $g(x) = x + 2$, what is $(f \cdot g)(1)$?

Accepted Answer

$3$

Operations and Difference Quotient of Functions

Study Guide - Practice Questions