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2 years ago

If f(x)=x-2, which of the following is the inverse of F(x)

2 answers:

5 0

The answer would be 2. This is because inverse means opposite, and since f(x)=-2, then that means the inverse would be 2.

Otrada [13]2 years ago

3 0

Answer:

$f(x)^{-1}$ = x + 2.

Step-by-step explanation:

Given : f(x) = x-2.

To find : inverse of F(x).

Solution : We have given that f(x) = x-2.

STEP 1: replace "y" in for the "f(x)":

y = x -2.

STEP 2: Switch the x and y

x = y -2 .

STEP 3: Solve for y:

On adding 2 both sides and switching the sides.

y = x + 2 .

STEP 4: write in the inverse notation

y = $f(x)^{-1}$ = x + 2.

Therefore, $f(x)^{-1}$ = x + 2.

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3 years ago

Match the vocabulary word to its correct definition.

Trava [24]

Answer:

1. Complex number.

2. Imaginary part of a complex number.

3. Real part of a complex number.

4. i

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Step-by-step explanation:

1. Complex number: is the sum of a real number and an imaginary number: a + bi, where a is a real number and b is the imaginary part.

2. Imaginary part of a complex number: the part of a complex that is multiplied by i; so, the imaginary part of the complex number a + bi is b; the imaginary part of a complex number is a real number.

3. Real part of a complex number: the part of a complex that is not multiplied by i. So, the real part of the complex number a + bi is a; the real part of a complex number is a real number.

4. i: a number defined with the property that 12 = -1.

5. Multiplicative inverse: the inverse of a complex number a + bi is a complex number c + di such that the product of these two numbers equals 1.

6. Imaginary number: any nonzero multiple of i; this is the same as the square root of any negative real number.

7. Complex conjugate: the conjugate of a complex number has the opposite imaginary part. So, the conjugate of a + bi is a - bi. Likewise, the conjugate of a - bi is a + bi. So, complex conjugates always occur in pairs.

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