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consider the given function
(1) = e21 – 4
to determine the inverse of the given function change f(x) to y switch
and y, and solve for

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

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step-by-step explanation: