How do you find the inverse of this function?

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asked Dec 25, 2018 126k views

1 Answer

Craftdeer · Answer 1 · 2018-12-31T02:39:06+0000

solve for x then replace x with f⁻¹(x) and y with x

y=(4^x-5)/3
times 3
3y=(4^x-5)
add 5
3y+5=4^x
take log₄ both sides
log₄(3y+5)=x
switch
f⁻¹(x)=log₄(3y+5)

How do you find the inverse of this function?

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