A few days ago
Please help :)?
Given f(x)=3x+4
1. Is f(x) a function? Why or why not?
2. Find f -1(x).
Is f -1(x) a function? Why or why not?
Top 2 Answers
A few days ago
Favorite Answer
1. f(x) is a function because for every x value there is one and only one y value. In fact, it is a linear function, forming a straight line when you graph it.
2. To find the inverse of f(x), write it first as y=3x+4.
Then reverse the x and y to get x=3y+4.
Now solve for the new y in terms of x:
Subtract 4 from both sides: x-4=3y
Divide both sides by 3: 1/3 x – 4/3 = y.
Rewrite it, putting y first: y= 1/3 x – 4/3.
This is your inverse function.
3. Yes, the inverse is also a functioin, it is a straight line and for every x value there is one and only one y value.
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A few days ago
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