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Amiraneli [1.4K]
3 years ago
6

Help i dont understand this

Mathematics
1 answer:
Andreyy893 years ago
4 0

Step-by-step explanation:

you substitute the given values in s-row for s in the function, then calculate the results and fill the blanks in f(s)-row

s=0 --> f(s) = |0-2| / (0-2) = -1

s=1 --> f(s) = -1

s=9/2 --> f(s) = 1

s=11/2 --> f(s) = 1

s=6 --> f(s) = 1

In fact, there's a more shorter way to do this

You see that:

|x-2| = x-2 when x≥2

|x-2| = -(x-2) when x<2

Therefore:

f(s) = 1 for all x≥2

f(s) = -1 for all x<2

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slava [35]

Answer:

A

Step-by-step explanation:

So we have the two functions:

f(x)=x^2-1\\g(x)=\sqrt x

And we want to find:

(f\circ g)(1)

This is the same as:

f(g(1))

So, to find the answer, find g(1) first:

g(x)=\sqrt x\\g(1)=\sqrt1\\g(1)=1

Now, substitute this value for g(1):

f(g(1))\\=f(1)

And plug this into f(x):

f(x)=x^2-1\\f(1)=(1)^2-1\\f(1)=1-1=0

Therefore:

f(1)=f(g(1))=(f\circ g)(1)=0

Our answer is A

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