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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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Nookie1986 [14]

Hello from MrBillDoesMath!

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Discussion:

This one took some trial and error! At first I listed all 2 digit primes, looked at the list, but didn't know how to proceed. So, I took the smallest 2 digit primes numbers:  11 and 13 and wondered if their product, 13*11 = 143, could be represented as the sum of  3 consecutive primes.   I went back to my list of primes,  added groups of three consecutive numbers that seemed to be in the right range to give the desired sum, and stumbled on  43, 47, and 53!

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Thank you,

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