mohon bantuannya wkwkww

No.5
gofof(x)
= g(fof(x))
= g(f(f(x)))
= g(f(√x))
= g(√(√x))
= (√(√x))² + 1
= √x  + 1
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No. 12
f(x) = 2x - 3
gof(x) = 6x + 10

maka
g(f(x)) = 6x + 10
g(2x - 3) = 6x + 10
g(x) = 6[(x + 3)/2] + 10
g(x) = 3(x+3) + 10
g(x) = 3x + 9 + 10
g(x) = 3x + 19

y = 3x + 19
y - 19 = 3x
(y - 19)/3 = x

jadi g⁻¹(x) = (x - 19)/3

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No. 13
fog(x) = 10x - 8
g(x) = 2x + 4
mka

f(g(x)) = 10x - 8
f(2x + 4) = 10x - 8
f(x) = 10 [(x - 4)/2] - 8
f(x) = 5(x - 4) - 8
f(x) = 5x - 20 - 8
f(x) = 5x - 28

y = 5x - 8
y + 8 = 5x
(y + 8)/5 = x
jadi
f⁻¹(x) = (x + 8)/5
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No/ 6
f(x) = 2x + p
g(x) = 3x + 120
diketahui f(g(x)) = g(f(x))

maka
2(3x + 120) + p = 3(2x + p) + 120
6x + 240 + p = 6x + 3p + 120
240 + p = 3p + 120
4p = 120
p = 30

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NO.7
g(x) = x² - 1
fog(x) = x⁴

maka
f(g(x)) = x⁴
f(x² - 1) = x⁴
misal
y = x² - 1
x² = y + 1
x = √(y + 1)

f(y) = [√(y + 1)]⁴
f(y) = (y + 1)²
f(y) = y² + 2y + 1

f(4) = 4² + 2(4) + 1
f(4) = 16 + 8 + 1
f(4) = 25