Question 1 of 5Find the given composition:
Select the Correct Answer Below: Correct! Not Correct!
A
$$f(g(x))=-9x^2 - 42x - 13$$ $$f(g(3))=-220$$
B
$$f(g(x))=21x^2 - x + 14$$ $$f(g(3))=172$$
C
$$f(g(x))=18x^2 - 84x + 98$$ $$f(g(3))=8$$
D
$$f(g(x))=2x^2 - 3x - 1$$ $$f(g(3))=8$$
E
$$f(g(x))=-4x^2 - 6x + 1$$ $$f(g(3))=-15$$
Question 2 of 5Find the given composition:
Select the Correct Answer Below: Correct! Not Correct!
A
$$f(g(x))=|2x^2| - |5x| - 1$$ $$f(g(-5))=-24$$
B
$$f(g(x))=2x^2 - 5|x| - 1$$ $$f(g(-5))=24$$
C
$$f(g(x))=|2x^2 - 5x - 1|$$ $$f(g(-5))=74$$
D
$$f(g(x))=|2x^2 - 5|x| - 1|$$ $$f(g(-5))=45$$
E
$$f(g(x))=2x^2 + 5x + 3$$ $$f(g(-5))=-13$$
Question 3 of 5Answer the given question:
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A
$$\text{Domain:}$$$$\left\{x | x ≠ -\frac{1}{3}\right\}$$
B
$$\text{Domain:}$$$$\left\{x | x ≠ -\frac{1}{3}, 0, 3\right\}$$
C
$$\text{Domain:}$$$$\left\{x | x ≠ -\frac{1}{3}, 0\right\}$$
D
$$\text{Domain:}$$$$\left\{x | x ≠ -3, 0\right\}$$
E
$$\text{Domain:}$$$$(-\infty, \infty)$$
Question 4 of 5Answer the given question:
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A
$$\text{Domain:}$$$$\left\{x | {-}4 ≤ x ≤ 1 \right\}$$
B
$$\text{Domain:}$$$$\left\{x | x ≥ 1 \right\}$$
C
$$\text{Domain:}$$$$\left\{x | x ≤ 1\right\}$$
D
$$\text{Domain:}$$$$\left\{x | x < -1\right\}$$
E
$$\text{Domain:}$$$$(-\infty, \infty)$$
Question 5 of 5Find the given decomposition:
Select the Correct Answer Below: Correct! Not Correct!
A
$$f(x)=x^5 - 2x + 1$$ $$g(x)=x^2 - 2$$
B
$$f(x)=x^2 - 2x$$ $$g(x)=x^5 - 2(x^2 - 2) + 1$$
C
$$f(x)=x^2 - 2$$ $$g(x)=x^5 - 2x + 1$$
D
$$f(x)=x^5 - 2x$$ $$g(x)=x^2 - 2x + 1$$
E
$$f(x)=x^5 - x$$ $$g(x)=x^3 + 3x - 1$$

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