Question

Share one tip or suggestion on how to identify whether the given is a rational function,
rational equation or rational inequality
​

Answer 1

Explanation

y=5x^3-2x+1

8/x-8 = x/2x-1

√x-2=4

x-1/x+1=x^2

P(7x3−4√x+1)/Q(x2+3)P(7x3−4√x+1)/Q(x2+3)

6x-5/x+3≥0

My answers: 1. Rational equation 2. Rational equation 3. None of these 4. Rational equation 5. Rational function 6. Rational inequality

Please correct me if I have any mistake. I also wonder how f(x)=6 -x+3/x^2-5 is considered a rational function, given that the denominator and numerator are not polynomials.

Answer 2

Answer:

Step-by-step explanation:

Explanation:

• A rational function are those functions that are the division of two polynomials .A rational function is defined as the quotient of polynomials in which the denominator has degree of  at least 1.

• A rational equation is an equation containing at least one fraction whose numerator are polynomials .In order to determine a rational equation , look at the equation and find out the symbol of equality .if  do not find any function nor inequality symbol that it is a rational equation .
• To determine a rational inequality look at the inequality and find out the symbols of inequalities such as "<,>, or not equal sign" .if we do not find equality symbol than it it a rational inequality .

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