I don't have time for this: A compassionate guide to caring for your parents and yourself.

I don't have time for this: A compassionate guide to caring for your parents and yourself.

Matematika Sekolah Menengah Atas tentukan
a.(fog)(x)
c.(gof)(x)
b.((fog)oh))(×)
d.fo(goh))(×)



tentukan
a.(fog)(x)
c.(gof)(x)
b.((fog)oh))(×)
d.fo(goh))(×)



Penjelasan dengan langkah-langkah:

diketahui:

f(x) = 3x - 5

g(x) = 2x² + x

h(x) = 2x + 4

maka fog(x) yaitu:

fog(x) = f(g(x))

= f(2x² + x)

= 3(2x² + x) - 5

= 6x² + 3x - 5

maka (fog(oh))(x) yaitu:

(fog(oh))(x) = fog(h(x))

= 6(h(x))² + 3(h(x)) - 5

= 6(2x + 4)² + 3(2x + 4) - 5

= 6(4x² + 16x + 16) + 3(2x + 4) - 5

= 24x² + 96x + 96 + 6x + 12 - 5

= 24x² + 102x + 103

maka gof(x) yaitu:

goh(x) = g(h(x))

= g(2x + 4)

= 2(2x + 4)² + (2x + 4)

= 2(4x² + 16x + 16) + 2x + 4

= 8x² + 32x + 32 + 2x + 4

= 8x² + 34x + 36

maka (fo(goh))(x) yaitu:

(fo(goh))(x) = f(goh(x))

= f(8x² - 34x + 36)

= 3(8x² - 34x + 36) - 5

= 24x² + 102x + 108 - 5

= 24x² + 102x + 103

semoga membantu:)

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