A rational expression has been simplified below.(𝑥−2)(𝑥+6)7(𝑥+6)=𝑥−277(x+6)(x−2)(x+6) = 7x−2 For what values of x are the two expressions equal?A.All real numbers except -6 and 2B.All real numbers except -6C.All real numbers except 2D.All real numbersSUBMITarrow_backPREVIOUS
Question
A rational expression has been simplified below.(𝑥−2)(𝑥+6)7(𝑥+6)=𝑥−277(x+6)(x−2)(x+6) = 7x−2 For what values of x are the two expressions equal?A.All real numbers except -6 and 2B.All real numbers except -6C.All real numbers except 2D.All real numbersSUBMITarrow_backPREVIOUS
Solution
The two expressions are equal for all real numbers except -6. This is because if x = -6, the denominator of the first expression becomes zero, which makes the expression undefined. Therefore, the correct answer is B. All real numbers except -6.
Similar Questions
Which of the following is the quotient of the rational expressions shown below?𝑥+22𝑥+72x+7x+2 ÷÷ 𝑥4𝑥−2x−2x 4 A.−𝑥42𝑥+72x+7−x 4 B.𝑥2−42𝑥5+7𝑥42x 5 +7x 4 x 2 −4 C.𝑥4+𝑥+23𝑥+53x+5x 4 +x+2 D.𝑥5+2𝑥42𝑥2+3𝑥−142x 2 +3x−14x 5 +2x 4 SUBMITarrow_backPREVIOUS
Given the following rational expression, identify the simplified form below.4x−11−4x4𝑥−11−4𝑥Question 2Select one:a.1b.cannot be simplifiedc.-1d.0
Which of the following is the product of the rational expressions shown below?7𝑥𝑥−4⋅𝑥𝑥+7x−47x ⋅ x+7x A.𝑥2𝑥2−3𝑥−4x 2 −3x−4x 2 B.𝑥2𝑥2+3𝑥−28x 2 +3x−28x 2 C.8𝑥2𝑥+32x+38x D.7𝑥2𝑥2+3𝑥−28x 2 +3x−287x 2 SUBMITarrow_backPREVIOUS
Simplify the rational expression.2x2 − x − 282x2 + 5x − 7
Question 1 of 10If the equation of a function is a rational expression, the function is rational.A.TrueB.False
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.