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FunctionOperationsAssignment+

FunctionOperationsAssignment+ - Function Operations...

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Unformatted text preview: Function Operations Assignment Name: Date: My Achievement Goal for this chapter is… (Circle one) A+ A B C D (Teacher Use Only) This assignment is: wGood to Go! Needs Corrections Make sure that you show all of your work! 1. Given f ( x) = x+2 , and g ( x) = 2 x 2 − 4 find a formula for the following: 3 a. (f+ g)(x) b. (f/g)(x) Function Operations Assignment c. (f◦g)(x) d. (g◦f)(x) 2. Given f(x) = -­‐3x2-­‐7x +19 and g(x) = 2x2-­‐4x – 5 find the following: a. (f-­‐g)(-­‐2) Function Operations Assignment b. (fg)(-­‐2) c. (g◦f)(-­‐2) d. f(g(f(2))) ....... (Take your time, work from the inside out! J) Function Operations Assignment e. g-­‐1(-­‐2) ...... (Hint: There are actually two answers here.J) 3. Given the functions = ! and = − 3, sketch the graphs of the following on the same grid. a. b. c. ∘ () ! d. ( )() ! Function Operations Assignment 4. For each of the following functions determine the equation for the inverse, !! , and sketch a graph of both and , !! . !! a. = ! Function Operations Assignment b. = + 2 5. Given the following function, algebraically determine the equation of the inverse function. In order for the inverse to be a function there must be some restrictions. What are they? Show all your work. = ( − 6)! + 3 ...
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