SOLUTION: determine which functions are polynomial functions and if they are state the degree
f(x)=3x^5/2x+1
g(X)=3x^2+5^1/2-1
h(x)=3
f(x)=2x^3+3.14x+1/2
Algebra.Com
Question 240218: determine which functions are polynomial functions and if they are state the degree
f(x)=3x^5/2x+1
g(X)=3x^2+5^1/2-1
h(x)=3
f(x)=2x^3+3.14x+1/2
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
f(x) is not a polynomial function. f(x) is a rational function composed of the quotient of two polynomial functions.
g(x) is a polynomial function because although it has a non-integer exponent, that exponent is not on a variable (unless you mis-typed it and it is supposed to be 5x^1/2) g(x) is degree 2.
h(x) is a polynomial function of degree 0. Remember 
so you can re-write \ =\ 3x^0)
The other f(x) is a polynomial function of degree 3. Nothing says the coefficients have to be integers (or rational or even real, for that matter)
John
RELATED QUESTIONS
Determine whether the following functions are surjective.
f(x)=|2x+5|... (answered by solver91311)
1、Determine which functions are polynomial functions. For those that are, state the... (answered by ikleyn)
State whether the functions f and g are equal
f(x)= 2x^2 + x/x;g(x)=2x+1
(answered by jim_thompson5910)
if given two functions f(x)=2x^2-5 and g(x)=3x-4 , find... (answered by jim_thompson5910)
given the functions: f(x) = x2 - 3x +5 and g (x) = 5x - 1; find f... (answered by nyc_function)
given the functions {{{f(x) = x+1}}} and {{{g(x) = x^2+3x+1}}}, determine a simplified... (answered by filboi)
Determine whether g(x)=3x-6 and f(x)=1/3x+2 are inverse functions.
Thank... (answered by fractalier)
Determine whether g(x)=3x-6 and f(x)=1/3x+2 are inverse functions.
Thank... (answered by AnlytcPhil)
Use the functions f(x) = 2x +7, g(x) = x squared + 3x, and h(x) = 1/x-7 to find each of... (answered by funmath)