Which expression represents h(x)? The table shows two linear functions and the function
values for different values of x.
х
-3
2.
4
f(x) = 2x + 1
-5
5
9
g(x) = -X-3
0
-5
-7
h(x)
5
-10
-16
(f. g)(x)
* (g + 1)(x)
(f-9)x)
en (g- 1)(x)

incase anyone needs this. the answer is D.(g-f)(x)

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).