Diketahui : g(2x+1) = 6x-7 tentukan : g(x) = ........?

jawab

g(2x+1) = 6x - 7
2x + 1= y
2x = y-1
x = 1/2 y - 1/2

g(y) = 6 (1/2 y - 1/2) - 7
g(y) = 3y - 3 - 7
g(y) = 3y - 10
g(x) = 3x - 10

g(2x + 1) = 6x - 7

Misal :
2x + 1 = a
x = (a - 1)/2

g(2x + 1) = 6x - 7
g(a) = 6(a - 1)/2 - 7
g(a) = 3(a - 1) - 7
g(a) = 3a - 3 - 7
g(a) = 3a - 10

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g(x) = 3x - 10 ✔