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1 vote
If f(x) = log2(x+4), what is f-1(3)

User Kendell
by
7.4k points

2 Answers

6 votes
F^-1(3)= 2^3-4=8-4=4
Hope this helps.
User Crog
by
7.8k points
1 vote
imma just solve for f⁻¹(x) for this one

to solve fr the invers
replace f(x) with y
switch x and y
solve for y
replace y with f⁻¹(x)

I'm assuming your thing is
f(x)=log_2(x+4)

remember


log_a(b)=c translates to
a^c=b

so
if we replace y with f(x)

y=log_2(x+4)
switch

x=log_2(y+4)
translate

2^x=y+4
minus 4

2^x-4=y

f^(-1)(x)=2^x-4
evaluate

f^(-1)(3)=2^3-4

f^(-1)(3)=8-4

[f^(-1)(3)=4

it equals 4
User Lschuetze
by
8.3k points