SOLUTION: A function is given: f(x)=3x+12
a. Determine the inverse of this function and name it g(x).
b. Use composite functions to show that these functions are inverses.
c. Evaluate f
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Question 1069948: A function is given: f(x)=3x+12
a. Determine the inverse of this function and name it g(x).
b. Use composite functions to show that these functions are inverses.
c. Evaluate f(g(-2)). Explain: What is the domain?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Interchange x and y,
Solve for y.
This new y is the inverse of the original function,
.
.
.
f and g are inverses.
.
.
.
As shown in b.
Domain is all real numbers.
Range is all real numbers.
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