Algebra Problem No.5

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@ Mr. Eric | Wednesday, Aug 4, 2021 | 1 minute read | Update at Wednesday, Aug 4, 2021

Complete each problem below by hand. Show your work and provide a reason for each step. Calculators are not allowed on this assignment.

  1. Let $f(x)=\sqrt{x^2+5x+6}$ and $g(x)=3x^2$. and use this to answer the following. Remember to show all steps and provide justifications.

a. Find the domain and range of $f(x)$ and $g(x)$.

Answer

Answer

b. What is the domain and range of $(f\circ g)(x)$? $(g\circ f)(x)$?

Answer

Answer

c. Determine the function $(g\circ f)(x)$.

Answer

d. Find the maximum or minimum of $(g\circ f)(x)$.

Answer

e. Describe the relationship between $f(x)$, $g(x)$, and $(g\circ f)(x)$.

Answer

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