Find the inverse of the following function.

Mathematics

2 answers:

lyudmila [28]4 years ago

7 0

Answer:

f ⁻¹(x) = ∛(x-3)

Step-by-step explanation:

Margarita [4]4 years ago

4 0

Let f(x) be y.

y = x³ + 3

Switch x and y:

x = y³ + 3

Now you need to isolate y and you would get inverse function.

x - 3 = y³

∛(x-3) = y

Final answer: f ⁻¹(x) = ∛(x-3)

Hope this helps.

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Marta has gone for a walk and has covered three quarters of the total route so far. If she still has 2 kilometres to walk, how l

aleksklad [387]

Answer:

The total route is 8 kilometers.

Step-by-step explanation:

Let the distance of the total route be x

Marta has gone for a walk and has covered three quarters of the total route so far. This means that she has covered a distance of

3/4 × x = 3x/4 kilometers

she still has 2 kilometres to walk. This means that the total route or distance = the sum of the distance that she covered already and the distance she has remaining. Therefore,

x = 3x/4 + 2

x - 3x/4 = 2

(4x - 3x) / 4 = 2

Cross multiplying

4x - 3x = 4 × 2

x = 8

The total route is 8 kilometers.

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Murrr4er [49]

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