Question

Mohon dikerjakan untuk mencocokkan

Answer 1

Fungsi Invers

f(x) = 4x - 8
g(x) = (x + 2)/(3 - x)

Invers fungsi f(x)
f(x) = 4x - 8
y = 4x - 8
4x = y + 8
x = (y + 8)/4

f-'(x) = (x + 8)/4

Invers fungsi g(x)
g(x) = (x + 2)/(3 - x)
y = (x + 2)/(3 - x)
3y - yx = x + 2
x + yx = 3y - 2
x(y + 1) = 3y - 2

g-'(x) = (3x - 2)/(x + 1)

Maka :
» 4 f-'(-1) + 3 g-'(-2)
» 4 (7/4) + 3(8)
» 7 + 24
» 31

OPTION E

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f(x) = (1/2)x - 1
g(x) = 2x + 4

g o f(x) = 2(1/2 x - 1) + 4
g o f(x) = x + 2

g o f(x) = x + 2
y = x + 2
x = y - 2

g o f-'(x) = x - 2
g o f-'(10) = 10 - 2 » 8

OPTION B

#DONE