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andrew11 [14]
4 years ago
13

What is the inverse of f(x)=(x-2)^3

Mathematics
1 answer:
maxonik [38]4 years ago
4 0

Answer:

g⁻¹(x) = 2 + ∛x

Step-by-step explanation:

g(x) = (x - 2)³     Rename g(x) as y

   y = (x - 2)³

Solve for x :

        y = (x - 2)³     Multiply each side by 3

     ∛y =  x - 2         Add 2 to each side

∛y + 2 = x  

        x = ∛y + 2      Switch x and y

        y = ∛x + 2      Rename y as g inverse

 g⁻¹(x) = 2 + ∛x


See the graphs of g(x) and g⁻¹(x) below.

g(x) is the red line. g⁻¹(x) is the blue line.

Each graph reflects the other about the dashed line representing the function y = x.


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Someone help i'll give brainliest to right answer!
Bogdan [553]

Answer:

145

Step-by-step explanation:

angles in a pentagon add up to equal 540

Hence, 110 + 90 + 80 + 115 + v = 540

( note that we just created an equation that we can use to solve for v )

We now solve for v using the equation created

110 + 90 + 80 + 115 + v = 540

step 1 combine like terms

110 + 90 + 80 + 115 = 395

we now have 395 + v = 540

step 2 subtract 395 from each side

540 - 395 = 145

395 - 395 cancels out

we're left with v = 145

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yaroslaw [1]

Answer: Number 1 is c=89 ft

Number 2 is b=3 cm

Step-by-step explanation: a²+b²=c²

For number 1, 39 ft is a and 80 ft is b so

39²+80²=c² so 39² is 39x39=1521 and 80² is 80x80=6400 so 6400+1521=7921

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For number 2, a=1.6 cm and c=3.4 cm so 3.4²-1.6²=b²

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So number 2 answer is b=3 cm

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mojhsa [17]
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Answer:

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(-2u^3+5u-1)+(7u^3-2u^2+9)

Remove parentheses:

\implies -2u^3+5u-1+7u^3-2u^2+9

Collect like terms:

\implies -2u^3+7u^3-2u^2+5u-1+9

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