, i need to be with these questions

Let me know if you have any questions about any of my work.

Step-by-step explanation:

You are given the following:

and asked to find .

If you add those because we are asked to find f(x)+g(x) you get:

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You are given the following:

and asked to find .

I replaced g(x) with sqrt(x-2) because that is what it equals.

Now this last thing means to replace old input in x^2+3 with new input sqrt(x-2) giving us:

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We are given and asked to find g(x) and f(x) such that y=f(g(x)).

We have choices so let's use the choices:

Choice A:

 I replaced the old input x with new input 4/x^2.

This was actually the desired result.

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To find the inverse of f(x)=3x-2 or y=3x-2, your objective is to swap x and y and then remake y the subject.

y=3x-2

Swap x and y:

x=3y-2

Now solve for y.

Add 2 on both sides:

x+2=3y

Divide both sides by 3:

(x+2)/3=y

y=(x+2)/3

a)

b) $37.23

Step-by-step explanation:

Since we have given that

Total amount raised by a theatre company = $930.75

Number of floor seat tickets = 25

We need to find the equation with a variable that can be solved to correctly find the price of each ticket.

Let the price of each ticket be 'x'.

so, Part A becomes,

Part B:

Value of x be

Hence, a)

b) $37.23