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mrs_skeptik [129]
3 years ago
8

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

Mathematics
2 answers:
svp [43]3 years ago
8 0
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
pshichka [43]3 years ago
4 0
F^-1(3)= 2^3-4=8-4=4
Hope this helps.
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