The equation as a function of x will be[tex]f(x)=\dfrac{1}{25}x^4-\dfrac{4}{5}[/tex]. The correct option is C.
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The given polynomial is a biquadratic polynomial. The biquadratic polynomial is defined as the polynomial having a degree of 4 or the maximum power of the variable is 4 in a polynomial.
The given polynomial is 25x⁴-625y-500=0, To convert the polynomial
in the function of x reduce the whole equation in the x form.
The equation will be solved as below:-
25x⁴-625y-500=0
Separate the x variable and y variable into two forms.
-625y = 25x⁴-500
Calculate to find the value of y as a function of x. For that divide the equation by 625.
y = (25 / 625 )x⁴ - ( 500 / 625 )
y = ( 1 / 125)x⁴ - ( 4 / 5 )
[tex]f(x)=\dfrac{1}{25}x^4-\dfrac{4}{5}[/tex].
Hence, the solution is [tex]f(x)=\dfrac{1}{25}x^4-\dfrac{4}{5}[/tex]. The correct option is C.
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