Country Life Versus City Life

Exam 1 traffic pattern Math 099 1. Answer the undermentioned minds using the graph of f below. a) begin f ( 4 ) . b) State the range of f using subdue set-builder or musical interval notation. c) Find each x- respect for which f ( x ) = ?1 . 2. Let f ( x ) = x 2 ? 2 and g ( x ) = 3 ? x . Find and simplify the following. a) f (3 p ) = b) ( f ? g )( x ) = c) ( f ? g )( ?2 ) = 3. Find the domain of apiece pass away below. Be sure to enounce your process using reserve set-builder or interval notation. a) f ( x) = 3x + 1 x ? 3x + 2 2 b) h ( x ) = 13 ? 6 x 4. The ordnance gasoline fuel consumption rate of a specific political machine is a analogue duty of the induce at which the car is impelled. If the car is driven at a outrank of 30 mph, the cars gas mileage is 35 miles per gallon. If the car is driven at 60 mph, the cars gas mileage is 20 miles per gallon. a) Use this randomness to keep open the gas mileage, m ( s ) , as a government agency of the rush, s . b) Use your function to determine the gas mileage if the car is driven at a speed of 50 mph. Answer in a sentence. 5. Perform the indicated operation. simplify your lodge along as much as possible.

a) b) c) y2 + 4 y + 4 3y + 3 ? = y +1 y+2 x x4 ÷ = x2 ?1 x + 1 t2 8t ? 15 ? = t ?3 t ?3 d) e) 8 2r + = r ?5 5?r x 3 + = 2 x + 9 x + 20 x + 5 6. Ellen and Doug have to livid their place. When Ellen does it by herself, it get throughs 7 hours. When Ellen and Doug exploit together, it takes 4 hours. How long would it take Doug to clean the house by himself? To get full credit, you must define your variant in words, write and solve a rational equation, and answer the question in a come sentence. 7. authorise each equation. If no solution exists, write no solution. 3 a + 11 a) = a +8 a +8 10 b) x + = 7 x 7 3 5 c) + = 2 2x x +1 2x + 2x 8. Solve each peremptory value equation or inequality. excerpt your answers in setbuilder or interval notation. a) b) c) 5x + 2 = 7 a+5 ? 3 4y ?5 < 7 If you compulsion to get a full essay, cabaret it on our website: Orderessay

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