Question

F(x-2) =4x-3/2x-5 dan f invers (x) adalah invers dari f(x), maka f invers (3) =...

Answer 1

F(x-2) =4x-3/2x-5
misal p= x-2
x = p+2

f(p) =4(p+2)-3/2(p+2)-5
f(p) =4p+8-3/2p+4-5
f(p) =4p+5/2p-1
f(x) =4x+5/2x-1

finvers(x) =4x+5/2x-1
y = 4x+5/2x-1
y(2x-1) = 4x+5
2xy-y = 4x+5
2xy-4x = y+5
x(2y-2)= y+5
x = y+5/2y-2
finvers(x) = x+5/2x-2

finvers(3) = 3+5/2.3-2
finvers(3) = 8/4
finvers(3) = 2