Tentukan rumus fungsi invers a. f(x) = 2x + 7 b. g(x) = 1/3x - 4 c. h(x) = 8 - 5x d. k(x) = 9 - 1/2x

jawab

a. y = 2x +7
2x = 7 -y
x  = 7/2 - 1/2 y
f^-1 (x) = 1/2 (7 -x)

b.  y= 1/3 x - 4
3y = x - 12
x = 3y  + 12
f^-1 (x) = 3x + 12

c.h(x) = 8 -5x
y = 8 - 5x
5x = 8 -y
h^-1(x)= 1/5 (8 - x)

d. k(x) = 9 - 1/2 x
y = 9 - 1/2 x
2y = 18 - x
x =  18 - 2y
h^-1(x)= 18 - 2x