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How do you find the inverse of this function?
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How do you find the inverse of this function?

How do you find the inverse of this function?-example-1
User Suresh Cheemalamudi
by
7.6k points

1 Answer

7 votes
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)
User Craftdeer
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8.7k points
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