Jawaban:
y = √x - 2 + 4
x = (y - 4)^2 + 2
x = (3 - 4)^2 + 2
x = (-1)^2 + 2
x = 1 + 2
x = 3
So, f^-1(3) = 3.
[tex] {f}^{ - 1} (3) = 3[/tex]
Penjelasan dengan langkah-langkah:
[tex]f(x) = \sqrt{x - 2} + 4 \\ \sqrt{x - 2} = y - 4 \\ x - 2 = (y - 4 {)}^{2} \\ x = {y}^{2} - 8y + 18 \\ {y}^{ - 1} = {x}^{2} - 8x + 18 \\ {f}^{ - 1} ( 3) = 9 - 24 + 18 \\ = \: 3[/tex]
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Jawaban:
y = √x - 2 + 4
x = (y - 4)^2 + 2
x = (3 - 4)^2 + 2
x = (-1)^2 + 2
x = 1 + 2
x = 3
So, f^-1(3) = 3.
Jawaban:
[tex] {f}^{ - 1} (3) = 3[/tex]
Penjelasan dengan langkah-langkah:
[tex]f(x) = \sqrt{x - 2} + 4 \\ \sqrt{x - 2} = y - 4 \\ x - 2 = (y - 4 {)}^{2} \\ x = {y}^{2} - 8y + 18 \\ {y}^{ - 1} = {x}^{2} - 8x + 18 \\ {f}^{ - 1} ( 3) = 9 - 24 + 18 \\ = \: 3[/tex]