Which of the following pairs of functions are inverses of each other? O A. f(x) = 2x® +9 and g(x)=
-9
O B. f(x) = 6x2 -7 and g(x) =
+7
6
C. f(x)=
12 - 18 and g(x)=
12
x +18
D. f(x) = x +10 and g(x) = 4x - 10

What is the solution of log2  (3x  -  7)  =  3? 4 5

Find the length of the radius of a circle with the center at -7+2i and a point in the circle at 33+11i

Evaluate 8x2 + 9x − 1 2x3 + 3x2 − 2x dx. solution since the degree of the numerator is less than the degree of the denominator, we don't need to divide. we factor the denominator as 2x3 + 3x2 − 2x = x(2x2 + 3x − 2) = x(2x − 1)(x + 2). since the denominator has three distinct linear factors, the partial fraction decomposition of the integrand has the form† 8x2 + 9x − 1 x(2x − 1)(x + 2) = correct: your answer is correct. to determine the values of a, b, and c, we multiply both sides of this equation by the product of the denominators, x(2x − 1)(x + 2), obtaining 8x2 + 9x − 1 = a correct: your answer is correct. (x + 2) + bx(x + 2) + cx(2x − 1).