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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

1 Answer

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Answer:

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.

User Song Yongtao
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