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3 years ago

What is the inverse of the function f(x) = 2x + 1? h(x) = 1/2x - 1/2

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

3 0

Answer:

h(x) = x/2 - 1/2

Step-by-step explanation:

Here's the procedure for finding the inverse function algebraically:

1. Replace the label 'f(x)' with the label 'y:' y = 2x + 1

2. Interchange x and y: x = 2y + 1

3. Solve the resulting equation for y: 2y = x - 1, or y = (1/2)(x - 1) or y = x/2 - 1/2

This result corresponds to the 1st given possible answer choice.

The desired inverse function is h(x) = x/2 - 1/2

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Tina lives in a state that charges her 4.5% state income tax on her federal taxable income. If her federal taxable income is $61

Irina-Kira [14]

$ 2772 is paid in state income tax

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Tax rate = 4.5 %

Which means, 4.5 % of $61,600 is paid as tax

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Here, "of" means multiplication or product

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3 years ago

After a lesson on exponents, Tia went home and said to her mom " I learned that 10 to the 4th power is the same as 40,000." She

Burka [1]

Answer:

The answer is "10,000".

Step-by-step explanation:

In the 10^4 can be written as 10 exponents 4, which is not equal to 40,000. Tia's opinion was incorrect because the exponential shows how much they multiply that base number.

Let's explain :

$\to 10^4 = 10 \times 10 \times 10 \times 10 \\$

$=10,000$

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3 years ago