Answered

Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Perform the indicated operation and state the domain. Let f(x) = 3x^1/3 and g(x) = 2x^1/2 Express as (f+g)(x)

Sagot :

MrRoyal

Answer:

[tex](f + g)(x) = 3x^{\frac{1}{3}}+2x^{\frac{1}{2}}[/tex]

[tex]x \ge 0[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 3x^{\frac{1}{3}}[/tex]

[tex]g(x) = 2x^{\frac{1}{2}}[/tex]

Solving (a): (f + g)(x)

In functions:

[tex](f + g)(x) = f(x) + g(x)[/tex]

So, we have:

[tex](f + g)(x) = 3x^{\frac{1}{3}}+2x^{\frac{1}{2}}[/tex]

Solving (b): The domain of f(x)

For (f + g)(x) to be defines, the value of x must be greater than or equal to 0.

Hence, the domain is:

[tex]x \ge 0[/tex]

We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.