Perform the indicated operations and simplify. Assume all variables represent positive real numbers.
+ 5
- 2
A. 3
B. 37
C. 3
D. 37
Answer: D
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For the given functions f and g, find the requested function and state its domain. Write the domain in interval notation.f(x) = 8 - 9x; g(x) = -3x + 9;
Find f + g.
A. (f + g)(x) = -6x + 17; (-?, 
? 
, ?)
B. (f + g)(x) = -3x + 8; (-?, 
) ? (
, ?)
C. (f + g)(x) = -12x + 17; (-?, ?)
D. (f + g)(x) = 5x; (-?, ?)
Solve the problem.In chemistry class, each of the 82 students needs 72 mL of base. How many one-liter bottles of base need to be available?
A. 6 bottles B. 59 bottles C. 7 bottles D. 5 bottles
Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.log 
A. log 8 + 2log x + 
log (4 - x) - log 4 - 2log (x + 4)
B. log 8 + log x2 + log (4 - x)1/4 - log 4 - log (x + 4)2
C. log 8 + 2log x + 
log (4 - x) - log 4 + 2log (x + 4)
D. log (8x2
) - log (4(x + 4)2)
Factor completely.8x2 - 60x + 4x3
A. 4x(x - 3)(x + 5) B. (x - 3)(4x2 + 20) C. 4x(x + 3)(x - 5) D. (4x2 + 12x)(x - 5)