Algebra Problems
Please look over each problem to see if it makes sense to you prior to bidding. Thank you.
One: If F(x)=3xâˆ’âˆ£3+xâˆ£, find F(4) and F(âˆ’4).
F(4)= ____________
F(âˆ’ 4)= ____________
Two: If f(x)=6x2âˆ’4x, find f(2+z).
Enter the expression in simplest form. The terms of the expression must be entered in descending order of degree.
f(2+z)= __________
Three (steps for this would be great) : If
w(x)=
4Â Â Â Â Â Â Â Â Â Â Â Â Â ifxâ‰¤âˆ’8
âˆ£4xâˆ’4âˆ£Â Â Â ifâˆ’8<x<3
4x+4Â Â Â Â Â ifxâ‰¥3
find w(3) and w(âˆ’10).
w(3)= ____________
w(âˆ’10)= ____________
Â 
Four: Write the domain and range of the function using interval notation.  
(a)  Write the domain


(b)  Write the range

five: Using the graph, find f(0) and find x such that f(x)=âˆ’2.
f(0)= ____________Â Â Â and f(x)=âˆ’2 when x= ____________
Six:: Given w(t)=6+7t^2 and g(t)=7tâˆ’6, find (wg)(t).
Enter the expression in simplest form.
(wg)(t)= __________
Seven: Given s(x)=âˆ’2x^2 and w(x)=3x+3, find (s w)(0).
(s w) (0)= __________
Eight: Find (w âˆ˜ g)(1) for w(x)=7x^2âˆ’2x+8 and g(x)=2xâˆ’7.
(w âˆ˜ g) (1)= ____________
Nine: Find (p âˆ˜ p) (âˆ’1) for p(x)=3x^2+2xâˆ’3.
(p âˆ˜ p) (âˆ’1)= ____________
Ten: A car dealership offers a $1,500 factory rebate and a 9% discount off the price of a new car c.
Write a functionr for the cost of the car after receiving only the factory rebate.
r(c)= c+1,500 [Â Â ]Â Â câˆ’1,500 [Â Â ]Â Â 1,500c [Â Â ]Â Â c/1,500 [Â Â ]
Write a function p for the cost of the car after receiving only the dealership discount.
p(c)= câˆ’9 [Â Â ]Â Â câˆ’0.09 [Â Â ]Â Â 0.09c [Â Â ]Â Â 0.91c [Â Â ]
Evaluate (râˆ˜p)(c) and explain what the composition represents.
(râˆ˜p)(c)= 0.91câˆ’1,500 [Â Â ]Â Â 0.09câˆ’1,500 [Â Â ]Â Â 0.91câˆ’1,365 [Â Â ]Â Â 0.91c+1,365 [Â Â ]
(râˆ˜p)(c) represents the cost of the car when the __________ is applied first and then the __________ is applied.
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Category: Mathematics