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4 years ago

9

You spin the spinner shown to the right once. The spinner has 4 equal sectors colored pink, purple, blue, and green. What is P(N

ot Purple)

1 answer:

kiruha [24]4 years ago

8 0

Answer:

P=3/4

Step-by-step explanation:

There are 3 possibilities for not purple. (pink, blue, green)

3/4

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The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except –3. Which

allochka39001 [22]

Answer:

<em>The last is the correct option</em>

<em>"all real values except x not-equals 7 and the x for which f (x) not-equals negative 3"</em>

Step-by-step explanation:

<u>Domain and Range of Functions</u>

Given the function f(x), the domain of f is the set of all the values that x can take such f(x) exists. The range of f is the set of all the values that f takes.

We have a problem where we have to find the domain of a composite function. Let's recall that being f and g real functions, then

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

is the composite function of f and g.

We know the domain of f is the set of all real values except 7, and the domain of g is the set of all real values except –3.

Since f is the innermost function, the domain of the composite function is directly restricted by the domain of f. So, x cannot be 7.

Now, g takes f as its independent variable, and we know the domain of g excludes -3. It can be found that f(x) cannot be -3 because it will cause g not to exist.

Thus, the domain of $g\circ f$ is

All real numbers except x=7 and those where f(x)=-3

The last is the correct option

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