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stepladder [879]
3 years ago
7

Find f(-2) for f(x) = 3 * 2^x

Mathematics
1 answer:
schepotkina [342]3 years ago
4 0

9514 1404 393

Answer:

  3/4

Step-by-step explanation:

f(-2) = 3·2^-2 = 3/2^2

f(-2) = 3/4

_____

The applicable rule of exponents is ...

  a^-b = 1/a^b

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Coefficient of b in expansion of (3+b)^4
Margarita [4]
Are you sure you want ONLY the coefficient of b?  If you expand this, you will have b in 3 of 4 terms.

According to Pascal's Triangle, the coefficients of (a+b)^4 are as follows:

                             1
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So (a+b)^4 would be 1a^4 + 4a^3b + 6a^2b^2 + 4ab^3 + b^4

Here, you want (3 + b)^4.  Here's what that looks like:

3^4 + 4[3^3*b] + 6[3^2*b^2] + 4[3*b^3] + 1[b^4]

Which coeff did you want?
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3 years ago
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