Consider the following functions.
$f : y = 5 x - 4$
$g : y = 3 - 6 x$

Determine $\frac{f (2)}{g (5)} .$

- \frac{2}{9}

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\frac{2}{9}

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Solution

The correct option is A $- \frac{2}{9}$
$f$ and $g$ corresponds to the function $y = 5 x - 4$ and $y = 3 - 6 x,$ respectively.

$f (2)$ indicates $x = 2$ for $y = 5 x - 4.$
$∴ f (2) = 5 (2) - 4 = 10 - 4 = 6$

Similarly, $g (5)$ indicates $x = 5$ for $y = 3 - 6 x .$
$∴ g (5) = 3 - 6 (5) = 3 - 30 = - 27$

Hence, $\frac{f (2)}{g (5)} = \frac{6}{- 27} = - \frac{2}{9}$

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Similar questions

Determine the degree of each of the following polynomials.

(i) $\frac{4 x - 5 x^{2} + 6 x^{3}}{2 x}$

(ii) $y^{2} (y - y^{3})$

(iii) $(3 x - 2) (2 x^{3} + 3 x^{2})$

(x + 1)

6 x^{4} + 7 x^{3} - 5 x - 4

y = \frac{\sqrt{6 x - x^{2} - 5}}{5^{x - 2} - 1} .

| 6 x^{2} - 5 x - 1 | = 5 x - 6 x^{2} - 1,

y = \frac{x^{3}}{3} + 2 x^{2} - 5 x + 4

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