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

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