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Question 1 of 5: Find (f - g)(x) and the domain:
$$f(x)=x^3 + 2x + 4$$ $$g(x)=-x + 4$$
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A
$$3x^2 - x - 5$$ $$\text{Domain:}$$$$[0, \infty)$$
B
$$-x^3 - 3x$$ $$\text{Domain:}$$$$(-\infty, 2)$$
C
$$-3x^2 + 2x^2 - 1$$ $$\text{Domain:}$$$$(-\infty, \infty)$$
D
$$x^3 + 3x$$ $$\text{Domain:}$$$$(-\infty, \infty)$$
E
$$-3x + x - 3$$ $$\text{Domain:}$$$$(0, \infty)$$
Question 2 of 5: Find (fg)(x) and the domain:
$$f(x)=2x + 1$$ $$g(x)=3x^2 - x$$
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A
$$6x^3 + x^2 - x$$ $$\text{Domain:}$$$$(-\infty, \infty)$$
B
$$3x^4 - 4x^3 + 12$$ $$\text{Domain:}$$$$(-2, \infty)$$
C
$$-6x^3 + x - 1$$ $$\text{Domain:}$$$$(-\infty, \infty)$$
D
$$2x^2 + 10x - 7$$ $$\text{Domain:}$$$$[0, \infty)$$
E
$$3x^3 - 5x^2 - x$$ $$\text{Domain:}$$$$(-\infty, \infty)$$
Question 3 of 5: Find (3f - 2g)(x) and the domain:
$$f(x)=2x - 3$$ $$g(x)=x + 3$$
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A
$$2x - 15$$ $$\text{Domain:}$$$$(-\infty, \infty)$$
B
$$-x + 15$$ $$\text{Domain:}$$$$[0, \infty)$$
C
$$-2x^2 + 9x - 14$$ $$\text{Domain:}$$$$[0, \infty)$$
D
$$x + 15$$ $$\text{Domain:}$$$$(-\infty, \infty)$$
E
$$4x - 15$$ $$\text{Domain:}$$$$(-\infty, \infty)$$
Question 4 of 5: Find (fg)(-4):
$$f(x)=\sqrt{2x - 5}$$ $$g(x)=8x + 1$$
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A
Undefined
B
$$-\sqrt{13}+ 7$$
C
$$32$$
D
$$\sqrt{13}- 7$$
E
$$-12$$
Question 5 of 5: Find (f/g)(3):
$$f(x)=2x - 3$$ $$g(x)=\frac{x}{3x - 1}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
Undefined
B
$$22$$
C
$$31$$
D
$$15$$
E
$$8$$

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