SOLUTION: 5. (7 pts) f is a function that takes a real number x and performs these four steps in the order given: (1) Multiply by 3. (2) Subtract 9. (3) Take the square root.

Algebra ->  Graphs -> SOLUTION: 5. (7 pts) f is a function that takes a real number x and performs these four steps in the order given: (1) Multiply by 3. (2) Subtract 9. (3) Take the square root.       Log On


   

Question 1134036: 5. (7 pts) f is a function that takes a real number x and performs these four steps in the order given:
(1) Multiply by 3.
(2) Subtract 9.
(3) Take the square root.
(4) Take the reciprocal. (That is, make the quantity the denominator of a fraction with numerator 1.)
a. Find an expression for f (x). (no explanation required)



b. State the domain of f. (no explanation required)










Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

start with f+%28x%29=x
(1) Multiply by 3.=>f+%28x%29=3x
(2) Subtract 9.=>f+%28x%29=3x-9
(3) Take the square root. =>f+%28x%29=sqrt%283x-9%29
(4) Take the reciprocal. =>f+%28x%29=1%2Fsqrt%283x-9%29(That is, make the quantity the denominator of a fraction with numerator 1.)

a. Find an expression for f (x). (no explanation required)
f+%28x%29=1%2Fsqrt%283x-9%29
b. State the domain of f. (no explanation required)
{ x element R : x%3E3 }