Question 1

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

Accepted Answer

$x^2 + 3x - 1$

Question 2

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

Accepted Answer

$x^2 + x + 1$

Question 3

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

Accepted Answer

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

Question 4

Given $f(x) = x^2 + 2x$ and $g(x) = x - 1$, what is $\frac{f(x)}{g(x)}$?

Accepted Answer

$\frac{x^2 + 2x}{x - 1}$

Question 5

If $f(x) = x^2 + 2x$, what is $f(2)$?

Accepted Answer

$8$

Question 6

If $g(x) = x - 1$, what is $g(2)$?

Accepted Answer

$1$

Question 7

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

Accepted Answer

$(x - 1)^2 + 2(x - 1)$

Question 8

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

Accepted Answer

$x^2 + 2x - 1$

Question 9

If $f(x) = x^2 + 2x$, what is the value of $f(-1)$?

Accepted Answer

$-3$

Question 10

If $f(x) = x^2 + 2x$, what is the value of $f(0)$?

Accepted Answer

$0$

Question 11

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

Accepted Answer

$13$

Question 12

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

Accepted Answer

$8$

Question 13

If $f(x) = x^2 + 2x$ and $g(x) = x - 1$, what is $\frac{f(x)}{g(x)}$ when $x = 3$?

Accepted Answer

$\frac{15}{2}$

Question 14

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

Accepted Answer

$1$

Question 15

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

Accepted Answer

$7$

Question 16

If $f(x) = x^2 + 2x$, what is the equation of the tangent line to $f(x)$ at $x = 2$?

Accepted Answer

$y = 6x - 4$

Business Calculus Study Guidance: Derivatives, Limits, and Tangent Lines

Study Guide - Practice Questions