Answered

At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

For the given functions f and g, find the requested composite function value.
f(x) = x - 8
x , g(x) = x2 + 6; Find ( g H f)(-2).

Sagot :

Answer:

106

Step-by-step explanation:

Composite function:

A composite function is represented by:

[tex](g \circ f)(x) = g(f(x))[/tex]

In this question:

[tex]f(x) = x - 8[/tex]

[tex]g(x) = x^2 + 6[/tex]

[tex](g \circ f)(x) = g(f(x)) = g(x-8) = (x-8)^2 + 6[/tex]

Find ( gof)(-2).

When x = -2. So

[tex](g \circ f)(-2) = (-2-8)^2 + 6 = (-10)^2 + 6 = 100 + 6 = 106[/tex]

The answer is 106.

We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.