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3 years ago

What is the inverse of the function f(x) = 2x – 10?

Mathematics

1 answer:

Nadusha1986 [10]3 years ago

6 0

Answer:

f⁻¹(x) = (1/2)x +5

Step-by-step explanation:

In y = f(x), swap the variables, then solve for y. The expression you get is f⁻¹(x).

... y = 2x -10

... x = 2y -10 . . . . . . swapped variables

... x +10 = 2y . . . . . add 10

... (1/2)x + 5 = y . . . . divide by 2

... f⁻¹(x) = (1/2)x + 5 . . . . . . rewrite using function notation

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erastovalidia [21]

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3 years ago

Select the correct answer.

andrew-mc [135]

Answer:

$v=\sqrt{\frac{E}{m}}$

Step-by-step explanation:

The formula is given as:

$E=mv^2$

We need to solve this formula for v, that means that v to one side and let it be solved in terms of the other variables (E and m). First, we isolate v:

$E=mv^2\\\frac{E}{m}=\frac{mv^2}{m}\\\frac{E}{m}=v^2$

To isolate v, and eliminate the "square", we need to take square roots of both sides, that will give us v in terms of the other variables:

$\frac{E}{m}=v^2\\\sqrt{\frac{E}{m}}=\sqrt{v^2}\\\sqrt{\frac{E}{m}}=v$

Putting v to left side (convention), we finally have:

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