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3 years ago

What is the value of 8P4?

1 answer:

3 0

8P4 is a permutation;

P(n,r) ; nPr = n!/(n-r)!

8P4 = 8!/(8-4)! = 40,320 / 4! = 40,320 / 24 = 1,680

The value of 8P4 is 1,680

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3 years ago

Factor x^2-8x-48 completely

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Answer: (X-12)(x+4)

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3 years ago

Read 2 more answers

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3 years ago

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Hello what is the answer to this and the domain

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We are given the following functions:

$\begin{gathered} f(x)=7\sqrt[]{x}+6 \\ g(x)=x+6 \end{gathered}$

We are asked to determine the composite function:

$(f\circ g)(x)$

The composition of functions is equivalent to:

$(f\circ g)(x)=f(g(x))$

Therefore, we replace the value of "x" in function "f" for the function "g", therefore, we get:

$(f\circ g)(x)=f(g(x))=7\sqrt[]{x+6}+6$

Since we can't simplify any further this is the composition.

Now we are asked to determine the domain of this function. Since we have a square root, the domain must be the values of "x" where the term inside the radical is greater or equal to zero, therefore, we have:

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Therefore, the domain is:

$\lbrack-6,\infty)$

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1 year ago