Answers Algebra II Practice TestQuestion 3

3

practice testMultiple Choice

Practice Test

Question 3 • Algebra II

Which equation is the inverse of y is equal to 7 x squared minus 10 ?

Answer

A

y is equal to plus or minus square root of x over 7 plus 10 end root - no response given

B

y is equal to the fraction with numerator plus or minus square root of x and denominator 7 plus or minus the fraction with numerator square root of 10 and denominator 7 - no response given

C

\(y=\frac{\pm\sqrt{x\ +\ 10}}{7}\) - no response given

D

\(y=\pm\sqrt{\frac{x\ +\ 10}{7}}\) - correct

Explanation

To find the inverse, switch x and y in the original equation: x = 7y² − 10. Add 10, divide by 7, and take the square root, giving y = ±√((x + 10)/7). The ± is needed because both a positive and negative y can have the same square.

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