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Debora [2.8K]
3 years ago
13

How do you find the inverse of this function?

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
5 0
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)
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Help please I’m stuck
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Read 2 more answers
A geologist in South America discovers a bird skeleton that contains 80% of its original amount of C-14. N0= initial amont of C-
kap26 [50]

A geologist in South America discovers a bird skeleton that contains 80% of its original amount of C-14

We use formula N = N_oe^{-kt}

N0= initial amont of C-14 (at time t=0)

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N = N_oe^{-kt}

0.80N_o = N_oe^{-kt}

Divide both sides by N_o

0.8=e^{-0.0001 t}

Take ln on both sides

ln(0.8)=lne^{-0.0001 t}

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ln(0.8) = -0.0001t

Divide both sides by -0.001

t = 2231.435513

The age of the bird skeleton is 2231 years old




5 0
3 years ago
Tell whether each relationship is a function.
Serhud [2]

Answer:

3 is a function.

1 and 2 are not.

Step-by-step explanation:

1 and 2 are not functions because we can draw a vertical line which passes through  more than one point on the graphs.

You cant do this on graph 3 so it is a function.

8 0
2 years ago
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