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General Functions
Quadratics
Factoring
100
x(z + 3) + 1 + 3 − y; use x = 6, y = −5, and z = 2
39
100
Identify the vertex and max/min value f (x) = x^2 -18x+86
vertex:(9, 5) min value: 5
100
Solve the equation. 27 = x^(3/2)
9
200
−2(−6x − 9) − 4(x + 9)
8x-18
200
h(x) = 3x + 3 g(x) = −4x + 1 Find (h + g)(10)
-6
200
Factor: x^2 − 7x − 18
(x − 9)(x + 2)
200
Solve: 26 = −1 + (27x)^(3/4)
3
300
Rationalize the Imaginary Denominator (6 + 8i)/9i
(−6i + 8)/9
300
f (n) = 2n g(n) = −n − 4 Find ( f o g)(n) Hint: (f o g)(n)= f(g(n))
-2n-8
300
Factor: 3b^3 -5b^2 +2b
b(3b − 2)(b − 1)
300
simplify (p + 4)/(p^2 +6p +8)
1/(p+2)
400
f (x) = x^2 − 3x; Find f (−8)
88
400
g(a) = 2a + 2 h(a) = −2a − 5 Find (g o h)(−4 + a)
-4a +8
400
(n+3)/(n+2) ÷ ((n-1)(n+3))/((n-1)^2)
(n-1)/(n+2)
500
Find the discriminant of each quadratic equation then state the numberof real and imaginary solutions. 9n^2 − 3n − 8 = −10
−63; two imaginary solutions
500
solve: (a − 2)/(a + 3) -1= 3/(a+2)
-19/8