F(x)= (x+1)/2

Mathematics

1 answer:

xeze [42]3 years ago

4 0

9514 1404 393

Answer:

g(f(x)) = x . . . so the functions are inverses

Step-by-step explanation:

Two functions f and g are inverses of each other if ...

g(f(x)) = x or f(g(x)) = x

We are asked to evaluate g(f(x)). That will be x if the functions are inverses.

g(f(x)) = g((x+1)/2) = 2((x +1)/2) -1 = (x +1) -1

g(f(x)) = x . . . . the functions are inverses

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If (6^2]^p = 6^10, what is the value of p? <br> A.) 2 <br> B.) 3<br> C.) 4<br> D.) 5

kvv77 [185]

If u raise a power to another power, then u multiply the powers. In this case, u can simplify to 6^2p =6^10

Now you have like bases, so you can set the powers equal to each other. So now, 2p=10. Now p=5

5 0

3 years ago

The question is below thanks

Paha777 [63]

Answer:

FH ~ 10.02

Step-by-step explanation:

1. Approach

One should first find the circumference of the given circle. Then one should find how large the fraction of the circumference one is supposed to find is. Finally, one should multiply the fraction of the circumference one is supposed to find by the total circumference.

2. Circumference of the circle

The formula for circumference is;

$2r$ π

Substitute in the given values;

It is given that the radius is, hence

2 (7) π

14π

3. Find the fraction of the circumference one is supposed to find

It is given that the angles over the measure of the total degrees of angles in a circle are equal to the arc surrounding the angles of the circumference. Essentially;

$\frac{angles}{360}=\frac{arc}{circumference}$