Question

Which of the following is written as a rational function?

Answer 1

Answer:

P(x) = 3x + 4 and G(x) = -2x and Q(x) = $q(x)=x^{2}-8 x+1$ can be written as rational functions. Hence options A, B, C are correct

Solution:

We have to find the option which can be written as rational function.

Let us check it option by option.

a) p(x) = 3x + 4

Given p(x) is a polynomial and we know that any polynomial is an rational function.

So, it can be written as rational function.

b) g(x) = -2x  

Given g(x) is a polynomial and we know that any polynomial is an rational function.

So, it can be written as rational function.

$\text { c) } \mathrm{q}(\mathrm{x})=\mathrm{x}^{2}-8 \mathrm{x}+1$

Given q(x) is a polynomial and we know that any polynomial is an rational function.

So, it can be written as rational function.

d) f(X) = Meta

Here f(x) is not an polynomial and it can’t be written as a rational fraction i.e. of form $\frac{a(x)}{b(x)}$ where a(x) and b(x) are any two equations. So it can’t be written as rational function.

Hence, options a, b, c can be written as rational functions.