Domain: All real numbers (-infinity, infinity)
Range: [9, -infinity)
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Answer:
To determine the inverse of the given function, change f(x) to y, switch x and y and solve for y and f^-1(x)= ln(x+4)/2
Step-by-step explanation:
f(x) = e^2x - 4
to find the inverse let
y = e^2x - 4
Replace x and y
x = e^2y - 4
and now, solve to find value of y
x + 4 = e^2y
taking ln on both sides:
ln(x+4) = ln(e^2y)
ln(x+4) = 2y
=> y = ln(x+4)/2
=> f^-1(x)= ln(x+4)/2
So, To determine the inverse of the given function, change f(x) to y, switch x and y and solve for y and f^-1(x)= ln(x+4)/2