Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

End-of-Course Assessment - Page 964: 5

Answer

$x = -3$ or (B)

Work Step by Step

Find the inverse of $f^{-1}(x)$, or $f(x)$. Switch the "x" and "y" in the equation $x = 2y + 3, 2y = x-3, y = \frac{x-3}{2}$. Now, equate the function and the inverse and solve for x $f(x) = f^{-1}(x), 2x+3 = \frac{x-3}{2}$ Rearranging, starting by multiplying by 2: $4x+6=x-3, 3x = -9, x = -3$ The answer is $x = -3$ or (B)
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