<u>Answer:</u>
P(x) = 3x + 4 and G(x) = -2x and Q(x) =
can be written as rational functions. Hence options A, B, C are correct
<u>Solution:</u>
We have to find the option which can be written as rational function.
Let us check it option by option.
<u><em>a) p(x) = 3x + 4
</em></u>
Given p(x) is a polynomial and we know that any polynomial is an rational function.
So, it can be written as rational function.
<u><em>b) g(x) = -2x </em></u>
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](https://tex.z-dn.net/?f=%5Ctext%20%7B%20c%29%20%7D%20%5Cmathrm%7Bq%7D%28%5Cmathrm%7Bx%7D%29%3D%5Cmathrm%7Bx%7D%5E%7B2%7D-8%20%5Cmathrm%7Bx%7D%2B1)
Given q(x) is a polynomial and we know that any polynomial is an rational function.
So, it can be written as rational function.
<u><em>d) f(X) = Meta
</em></u>
Here f(x) is not an polynomial and it can’t be written as a rational fraction i.e. of form
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.