Question

2. Let f(x) = 2x^2 + x -3 and g(x) = x-1 preform the indicated operation, then find the domain.

(f * g)(x)


a. 2x^3 - x^2 - 4x+3; domain: all real numbers

b. 2x^3 + x^2 - 3x ; domain: all real numbers

c. 2x^3 + x^2 + 4x-3 ; domain: negative real numbers

d. 2x^2+x-3x+3

Answer 1

a.

Explanation:

for an arithmetic operation on functions you simply apply this operation to the functional expressions :

(2x² + x - 3)(x - 1) = 2x³ - 2x² + x² - x - 3x + 3 =

= 2x³ - x² - 4x + 3

the domain is the range of set of all valid input (x) variable values.

there is no reason to forbid any real number.

so, it is all real numbers.