Which of the following expressions is the inverse of the function y=3x+4
2 answers:
To find the inverse of a function, we swap x and y then solve for y
So with this, we take y = 3x + 4 and make it x = 3y + 4. Now we solve for y
x = 3y + 4
Subtract 4 from both sides
x - 4 = 3y
Divide both sides by 3
So with this, we take y = 3x + 4 and make it x = 3y + 4. Now we solve for y
x = 3y + 4
Subtract 4 from both sides
x - 4 = 3y
Divide both sides by 3
Options:
A. y = 3x - 4
B. y = -3x - 4
C. y = x - 4 / 3
D. y = x + 4 / 3
The answer is option C when your doing inverse functions you need to switch the variables but substituting x with y. So, the equation would look like this:
- y = 3x + 4 ---> x = 3y + 4
- x = 3y + 4
- Subtract 4 on both sides:
- Then divide 3 on both sides: "
or option C "
Hope this helps!
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To find:
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Therefore, the end behaviors of the given function are:
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