Dari Wikibuku bahasa Indonesia, sumber buku teks bebas
Bentuk dan sifat fungsi invers
[sunting]
bentuk f-1(x)
sifat:
- y = f(x) → f-1(y) = x
- f(x-a) = g(x) → f(x) = g(x+a)
- (f-1(x))-1(x) = f(x)
- f(f-1(x)) = f-1(f(x))
- (f o f-1) (x) = x
- (f o g)-1 (x) = (g-1 o f-1) (x)
- (f o g) (x) = h(x) → (f-1 o h) (x) = g(x)
- tabel fungsi invers
Fungsi invers (f(x)) |
Hasil (f-1(x))
|
![{\displaystyle ax+b}](https://wikimedia.org/api/rest_v1/media/math/render/svg/8507be931cbdb80c0b7339082b03eb0299710ae8) |
|
![{\displaystyle ax^{2}+bx+c}](https://wikimedia.org/api/rest_v1/media/math/render/svg/126c6935d3dd9f1c1da0c388ca2799be4f6f237c) |
|
![{\displaystyle {\frac {ax+b}{cx+d}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/2e4f53b0ac0f7d25be36aaf6334a2a4e938a5a24) |
|
![{\displaystyle {(ax+b)}^{2}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/2259a68d944ef146948ae97febde6be2f39b8aef) |
|
![{\displaystyle {\sqrt {ax+b}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/b00508bbaabf56667d4efcf205d63c97121928ae) |
|
![{\displaystyle a^{bx}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/1424659773f6309d04772557f26e8954b4eb8379) |
|
![{\displaystyle ^{a}logbx}](https://wikimedia.org/api/rest_v1/media/math/render/svg/c3ef011412864e7ef3f3872fc73f64eb53d071d3) |
|
contoh soal
1 tentukan fungsi invers dari
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Jawaban
2 tentukan nilai f(1) jika
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- cara 1
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- cara 2
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- cara 3
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3 tentukan nilai f-1(1) jika
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- cara 1
Jawaban
- cara 2
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