diketahui (gof)–¹ (x) = x-2/2 jika g(x) = x-1 tentukan nilai dari f–¹(7)
Matematika
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Pertanyaan
diketahui (gof)–¹ (x) = x-2/2 jika g(x) = x-1 tentukan nilai dari f–¹(7)
1 Jawaban
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1. Jawaban DB45
fungsi invers
(gof)⁻¹(x) = (x -2)/ 2
g(x)= x - 1
(gof)⁻¹ o f(x) = x- 1
(gof)⁻¹{ f(x)}= x - 1
f(x) -2 / 2 = x - 1
f(x) -2 = 2(x -1)
f(x)= 2x -2 + 2
f(x)= 2x
f⁻¹(2x)= x
f⁻¹(7)= ...
2x = 7
x = 7/2
f⁻¹(7) = 7/2