AnswersMath 3Practice TestQuestion 12
12
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Practice Test

Question 12 • Math 3

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

Answer
A
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
B
y is equal to plus or minus square root of x over 7 plus 10 end root
C
y is equal to plus or minus square root of the fraction with numerator x plus 10 and denominator 7 end root
D
y is equal to the fraction with numerator plus or minus square root of x plus 10 end root and denominator 7

Explanation

To find the inverse, swap x and y in the original equation: x = 7y² − 10. Add 10 and divide by 7 to get y² = (x + 10)/7, then take the square root: y = ±√((x + 10)/7). This matches choice A, which includes both square-root branches.

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