Mathematics: 18. Identify the inverse function of

(A)dStep-by-step explanation:We want to determine the productFirst, we write each term in index form using Fractional Index Rule.Using this, we obtain:Next, we apply the addition law of indices: (Therefore, the product:...

18. Identify the inverse function of - id187364780, Lovebamagirl12

Ответ:

jasminetaylor4587

01.02.2022

Mathematics

$\huge\boxed{D) \ f^{-1}(x) = (x-3)^2+2}$

Step-by-step explanation:

$f(x) = \sqrt{x-2} + 3$

Replace f(x) by y

$y = \sqrt{x-2} + 3$

Interchange x and y

$x = \sqrt{y-2} + 3$

Solve for y

$x = \sqrt{y-2} + 3$

Subtracting 3 to both sides

$x - 3 = \sqrt{y-2}$

Taking square on both sides

(x-3)^2 = y-2

Adding 2 to both sides

y = (x-3)^2 + 2

Replace $y = f^{-1}(x)$

$f^{-1}(x) = (x-3)^2+2$

0,0(0 оценок)

Ответ:

larey

23.09.2022

Mathematics

(A)d

Step-by-step explanation:

We want to determine the product

$\sqrt[3]{d} \times \sqrt[3]{d} \times \sqrt[3]{d}$

First, we write each term in index form using Fractional Index Rule.

$a^{1/n}=\sqrt[n]{a} \\$Therefore: \sqrt[3]{d}=d^{1/3}$

Using this, we obtain:

$\sqrt[3]{d} \times \sqrt[3]{d} \times \sqrt[3]{d} =d^{1/3} \times d^{1/3} \times d^{1/3}$

Next, we apply the addition law of indices: ( $a^m X a^n=a^{m+n}$

$d^{1/3} \times d^{1/3} \times d^{1/3}=d^{1/3 + 1/3 + 1/3}\\=d^{3/3}\\=d^1\\=d$

Therefore, the product: $\sqrt[3]{d} \times \sqrt[3]{d} \times \sqrt[3]{d}=d$

0,0(0 оценок)

18. Identify the inverse function of

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question