Answer:
P(x) = 3x + 4 and G(x) = -2x and Q(x) = [tex]q(x)=x^{2}-8 x+1[/tex] 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.
[tex]\text { c) } \mathrm{q}(\mathrm{x})=\mathrm{x}^{2}-8 \mathrm{x}+1[/tex]
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 [tex]\frac{a(x)}{b(x)}[/tex] 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.
