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3 years ago

Let / f(x)= -5x + 3 and g(x) = 6x - 2. Find f*g and its domain.

Mathematics

1 answer:

lina2011 [118]3 years ago

6 0

Answer:

The correct answer is: Option 3.

Step-by-step explanation:

To begin the problem asks to find $f$ · $g$ which can be defined as $[f*g](x)$ . Now we are given that:

$f(x)=-5x+3\\g(x)=6x-2$

So now we need to 'multiply' our two algebraic expressions as follow:

$fg(x)=(-5x+3)(6x-2)\\fg(x)=(-5x)(6x) +(-2)(-5x)+(3)(6x)+(3)(-2)\\fg(x)=-30x^2+10x+18x-6\\fg(x)=-30x^2+28x-6$ Eqn.(1)

The domain of Eqn. (1) is all real numbers of $x$ .

Which according to the given options , Option 3 is correct.

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