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dangina [55]
3 years ago
6

please answer the question on the screenshot below, also please explain to me how you got your answer.

Mathematics
1 answer:
frutty [35]3 years ago
5 0

QUESTION 1

The given functions are;

f(x)=5x^2-2x and g(x)=5x^2+x-4

(f+g)(x)=f(x)+g(x)

(f+g)(x)=5x^2-2x+3x^2+x-4

We regroup like terms to obtain;

(f+g)(x)=5x^2+3x^2-2x+x-4

This simplifies to;

(f+g)(x)=8x^2-x-4

The correct answer is A.

QUESTION 2

The given functions are;

f(x)=3x^2+5 and g(x)=x-2.

(fg)(x)=(f(x))(g(x))

This implies that;

(fg)(x)=(3x^2+5)(x-2)

\Rightarrow (fg)(x)=3x^3-6x^2+5x-10

The correct answer is B.

QUESTION 3

The given functions are

f(x)=3x^2+10x-8 and g(x)=3x^2-2x.

(\frac{f}{g})(x)=\frac{f(x)}{g(x)}

(\frac{f}{g})(x)=\frac{3x^2+10x-8}{3x^2-2x},x\ne0,\frac{2}{3}

We factor to obtain;

(\frac{f}{g})(x)=\frac{(x+4)(3x-2)}{x(3x-2)},x\ne0,\frac{2}{3}

We cancel the common factors to obtain;

(\frac{f}{g})(x)=\frac{x+4}{x},x\ne0,\frac{2}{3}

The correct answer is A.

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