Mohon dibantu jawab ya kakak kakak

Mohon dibantu jawab ya kakak kakak

Jawaban:

Nomor 3

$g(x) = x - 2$

Nomor 4

${(gof)}^{ - 1}(2) = frac{1}{10}$

Nomor 5

$({f}^{ - 1} o {g}^{ - 1} )(2) = - 7$

Penjelasan dengan langkah-langkah:

Nomor 3

$f(x) = 4x + 3 \ (fog)(x) = 4x - 5 \ \ (fog)(x) = f(g(x)) \ 4x - 5 = 4g(x) + 3 \ 4g(x) + 3 = 4x - 5 \ 4g(x) = 4x - 5 - 3 \ 4g(x) = 4x - 8 \ g(x) = frac{4x - 8}{4} \ g(x) = x - 2$

Nomor 4

$f(x) = 2x \ g(x) = 3 - 5x \ \ cari : nilai :(gof)(x) \ (gof)(x) = 3 - 5(2x) \ (gof)(x) = 3 - 10x \ \cari : nilai : {(gof)}^{ - 1}(x) \ y = 3 - 10x \ 10x = 3 - y \ x = frac{3 - y}{10} \ {(gof)}^{ - 1} (x) = frac{3 - x}{10} \ \ {(gof)}^{ - 1}(2) = frac{3 - 2}{10} \ {(gof)}^{ - 1}(2) = frac{1}{10}$

Nomor 5

$f(x) = x + 3 \ g(x) = x + 6 \ \ cari : nilai : {f}^{ - 1} (x) \ y = x + 3 \ x = y - 3 \ {f}^{ - 1} (x) = x - 3 \ \ cari : nilai : {g}^{ - 1} (x) \ y = x + 6 \ x = y - 6 \ {g}^{ - 1} (x) = x - 6 \ \cari : nilai : ({f}^{ - 1} o {g}^{ - 1} )(x) \ ({f}^{ - 1} o {g}^{ - 1} ) (x) = (x - 6) - 3 \ ({f}^{ - 1} o {g}^{ - 1} )(x) = x - 9 \ \ ({f}^{ - 1} o {g}^{ - 1} )(2) = 2 - 9 \ ({f}^{ - 1} o {g}^{ - 1} )(2) = - 7$