Reference no: EM131089612
1. Write expression as the sum of a polynomial and a rational function whose numerator has smaller degree than its denominator.
1. (x6 - 4x2 +5)/(x2 - 3x + 1)
2. Find a number c such that r(21000) ≈ 6, where
r(x) = (3x4 + 2x3 - 8x + 7)/(cx4 - 9x + 2)
3. Find a number b such that 3 is a zero of the polynomial p defined by
p(x) = 1- 4x + bx2 + 2x3
4. Write the indicated expression as a polynomial.
[s(1+x) - s(1)]/x
5. Evaluate the given expression. DO not use a calculator.
(5/4)-3
6. Simplify the given expression by writing it as a power of a single variable.
x(x4(x3)2)5/3
7. Simplify the given equation.
(x4y3/4)-3 / (x5y-2)4
8. Find a formula for f.g given the indicated function f and g.
f(x) = x2/3 - 7, g(x) = x9/16
9. Find all real number x that satisfy the indicated equation.
x2/3 + 3x1/3 = 10
10. Find a number d such that the line containing the points (d,4) and (-2, 9) has slope -3.
11. Find the equation of the line in the xy-plane with slope -4 that contains the point (-5, -2).
12. Suppose f is a function whose domain is the interval [-5, 5] and
f(x) = x/ (x+3)
a. Suppose f is an even function. Evaluate f(-3).
b. Suppose f is an odd function. Evaluate f(-3).
13. Suppose f is a function and a function g is defined by the given expression.
a. Write g as the composition of f and one or two linear functions.
b. Describe how the graph of g is obtained from the graph of f.
g(x) = -5f(-4/3x)- 8
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