Question

Dada a função real f(2x+1) = 4x-3, determine:
a)f(x)
b)$f^{-1}$(x)

Answer 1

Boa tarde 

f(2x + 1) = 4x - 3

f(x) = ax + b

f(2x + 1) = a*(2x + 1) + b
f(2x + 1) = 2ax + a + b = 4x - 3
2a = 4
a = 2
2 + b = -3
b = -5

f(x) = 2x - 5 

y = 2x - 5
2x = y + 5
x = (y + 5)/2

f^-1(x) = (x + 5)/2