Find the inverse of the function:

f(x) = e^(4x+2) - 10

y = e^(4x+2) - 10

y+10 = e^(4x+2)
4x+2 = ln(y+10)
x = (ln(y+10)-2)/4

so, f^-1(x) = (ln(x+10)-2)/4