SOLUTION: Find the equation of the inverse for each function. State which of the following inverses are functions.
a. f(x) = 1/(2 x) - 3
b. f(x) = 4x 2 - 5
c. A(r) = 4(Pi)r^2
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Question 1186229: Find the equation of the inverse for each function. State which of the following inverses are functions.
a. f(x) = 1/(2 x) - 3
b. f(x) = 4x 2 - 5
c. A(r) = 4(Pi)r^2
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
y=1/(2x)-3
x=(1/(2y)-3
x+3=1/2y
y=(1/2(x+3)) or 1/(2x+6)
That is a function.
-
y=4x^2-5
x=4y^2-5
4y^2=x+5
y^2=(1/4)(x+5). Not a function
-
a=4pir^2
r=4 pi a^2
a^2=r/4 pi,
Area=sqrt(r/4 pi). A function with restricted domain
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