precalculus
posted by Sara on .
find the inverse of function f(x)=42ln(x+1). state domain, range and any asymptotes of both

f(x) or y = 42ln(x+1)
domain: x > 1
range : y is any real number
asymptote: x = 1
for the inverse:
interchange x and y variables
x = 4  2ln(y+1)
2ln(y+1) = 4x
ln (y+1) = (4x)/2
y+1 = e^((4x)/2)
y = e^((4x)/2)  1
domain: x is any real number
range y > 1
asymptote : y = 1