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QUESTION

Please assist with the below questions: 1) Let f ( x ) = \sqrt(x+5) and g ( x ) = x 3. (a) Find f/g (1) (b) Find the domain of the quotient function...

Please assist with the below questions:

1) Let f (x) =  and g(x) = x − 3.

(a) Find  (−1)

(b) Find the domain the quotient /. .

2) points (-8, 1) and (-2, 5) are endpoints of the diameter of a circle.

(a) What is the length of the diameter? Give the exact answer, simplified as much as possible.

(b) What is the center point C of the circle?

(c) Given the point C you found in part (b), state the point symmetric to C about the x-axis. 

3) Find the equation for a line which passes through the points (5, -1) and (3, 7). Write the equation in slope-intercept form.  

4) Jack, a resident of Metropolis, pays Metropolis an annual tax of $85 plus 1.4% of his annual income. If Jack paid $890 in tax, what was Jack's income? 

5)Find the exact solutions and simplify as much as possible: 4x^2 = 4x + 1 

6) Given the function f (x) = 1/5 x +1, find a formula for the inverse function.  

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