Which equation is the inverse of 5 y plus 4 is equal to open paren x plus 3 close paren squared plus 1 half ?
Answer
A
y is equal to negative 3 plus or minus square root of 5 x plus 7 halves end root
B
y is equal to 3 plus or minus square root of 5 x plus 7 halves end root
C
y is equal to 1 fifth x squared plus 6 fifths x plus 11 tenths
D
negative 5 y minus 4 is equal to negative open paren x plus 3 close paren squared minus 1 half
Explanation
To find the inverse, switch x and y in the original equation: 5x + 4 = (y + 3)² + 1/2. Rearranging gives (y + 3)² = 5x + 7/2, so y = -3 ± √(5x + 7/2). This matches choice B.
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