Given the function f (x) = 3x, find the value of f-1 (81).
For this case, the first thing you should do is rewrite the function.
We have then:
y = 3 ^ x
From here, we clear the value of x:
log3 (y) = log3 (3 ^ x)
log3 (y) = x
Then, we rewrite the function again:
f (x) ^ - 1 = log3 (x)
Now, we evaluate the inverse function for x = 81:
f (81) ^ - 1 = log3 (81)
f (x) ^ - 1 = 4
Answer:
the value of f-1 (81) is:
f (x) ^ - 1 = 4
Answer: x=10 7/8
Step-by-step explanation:
Subtract 3/4 from both sides. Multiply both sides by 3. Divide both sides by 2 (basically just isolate x on one side of the equal sign).
9514 1404 393
Answer:
√42 ≈ 6.48074
Step-by-step explanation:
Put the values in place of the corresponding variables and do the arithmetic.
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42 = 2·3·7 is not a perfect square, nor does it have any perfect square factors. Its square root is irrational.
Calculating Total Cost. Multiply the cost of an item or service by the sales tax in order to find out the total cost. The equation looks like this: Item or service cost x sales tax (in decimal form) = total sales tax. Add the total sales tax to the Item or service cost to get your total cost. Multiply retail price by tax rate
Let's say you're buying a $100 item with a sales tax of 5%. Your math would be simply: [cost of the item] x [percentage as a decimal] = [sales tax]. That's $100 x .
Answer:
280in
Step-by-step explanation:
10×6=60
60×2=<u>120</u>
6×10=<u>60</u>
4×4=16
16×2=<u>32</u>
4×6=<u>24</u>
4×4=<u>16</u>
6×6=<u>36</u>
<u>120+60+32+24+16+36=280</u>
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