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Questions in Grade College

[Jawaban] 8. Given $g(x)=x^3$ and $h(x)=x+1$, find $(g \circ h)(-2)$. A. 1 B. -1 C. 2 D. -2 9. If $f(x)=x^2-1$ and $g(x)=\sqrt{x}+1$. Find $(f \circ g)(x)$ A. $x+2 \sqrt{x}$ B. $x^2$ C. 2 D. $\sqrt{x}-1$. 10. If $f(x)=10 x-5$ and $g(x)=x+3$, find $(f \circ g)(x)$. A. $10 x+25$ B. $20 x-5$ C. $10 x-25$ D. $2 x-25$. 11. Given $f(x)=3 x^2$ and $g(x)=1+2 x$ with $x \in R$, then $(f \circ g)(0)$ is A. 3 B. 0 C. 1 D. 2. 12. If $f: X \rightarrow Y$ is such that $f(X)=Y$, then $f$ is ? A. undefine B. onto C. bijective D. one-to-one

[Jawaban] Jim and Stephanie just got married and are thinking about changing their health care insurance plans to be more affordable. Currently, both Jim and Stephanie are insured through their own employers. Jim's employer pays $42 \%$ of his $[tex]$378$[/tex] monthly premium. His insurance plan will also pay for $23 \%$ of the $[tex]$345$[/tex] premium for additional beneficiaries. Stephanie's employer pays $35 \%$ of her $[tex]$298$[/tex] monthly premium but offers to pay an extra $10 \%$ of her premium for each beneficiary Stephanie adds to her plan. Her employer would then pay $30 \%$ of the $[tex]$349$[/tex] premium for each additional beneficiary. Insurance Jim's Employer Beneficiary Monthly Premium Employer Contribution Jim [tex]$378$[/tex] 42\% Additional (each) [tex]$345$[/tex] 23\% Stephanie's Employer Beneficiary Monthly Premium Employer Contribution Stephanie [tex]$298$[/tex] 35\% (+10\% for each additional beneficiary) Additional (each) [tex]$349$[/tex] 30\%

[Jawaban] Solve the logarithmic equation. Be sure to reject any value of [tex]$x$[/tex] that is not in the domain of the original logarithmic expression. [tex]$7 \ln (7 x)=28$[/tex]

[Jawaban] Which medication should be used with caution in patients with cardiovascular disease? A. Altace B. Cardura C. Lipitor D. Vyvanse

[Jawaban] Select the correct answer. Consider functions [tex]$f$[/tex] and [tex]$g$[/tex]. [tex] \begin{array}{l} f(x)=\frac{1}{4} x^4-2 x^2+4 \\ g(x)=2 \sqrt{x-2} \end{array} [/tex] Using graphing, what is the approximate solution, or solutions, of [tex]$f(x)=g(x)$[/tex]? A. [tex]$x=2$[/tex] and [tex]$x \approx 2.5$[/tex] B. [tex]$x=0$[/tex] and [tex]$x \approx 1.5$[/tex] C. [tex]$x=0$[/tex] and [tex]$x \approx 0.6$[/tex] D. [tex]$x \approx 2.7$[/tex]

[Jawaban] An Insurance agent claims that the average age of policy holders who insure through him is less than the average of all other agents, which is 30. A random sample of 100 policy holders who had insured through the agent gave the adjoining age distribution: Age: 16-20, 21-25, 26-30, 31-35, 36-40, 41-45, 46-50 Number of persons: 12, 16, 18, 20, 10, 10, 14 Test the claim that the average age is less than the figure for all the other agents at a 5% level of significance.

[Jawaban] What was the major shift in psychology during the 1920s? A. Emphasis on observable behavior B. Focus on mental illness C. Emphasis on introspection D. Study of Dreams

[Jawaban] The following table lists the temperature (in Fahrenheit, ${ }^{\circ} F$ ) and the number of chirps per second for the striped ground cricket. | Temperature ( x ) | Chirps per second (y) | |---------------------|-------------------------| | 88.6 | 20 | | 93.3 | 19.8 | | 80.6 | 17.1 | | 69.7 | 14.7 | | 69.4 | 15.4 | | 79.6 | 15 | After entering the data in $R$, what do you need to type to create an $x-y$ scatterplot? Fill the blank below. $\begin{array}{l} x<-c(88,6,93,3,80,6,69,7,69,4,79,6) \\ y<-c(20,19,8,17,1,14,7,15,4,15) \\ \text { cbind( } x, y \text { ) } \\ ( x, y ) \\ \end{array}$ correlation( $x, y$ ) boxplot(x, y) regression( $x, y$ ) $\operatorname{plot}(x, y)$

[Jawaban] Which of the following bacteria will give positive results for the Coagulase test? A. S. epidermidis B. S. Prophyticus C. S. aureus D. S. hominis

[Jawaban] For f(x)=√x and g(x) = x - 1, find the following. a. (f ∘ g)(x) b. (g ∘ f)(x) c. (f ∘ g)(5) What is (f ∘ g)(x)?