Which of the following expressions is the inverse of the function y = 3x + 4?
1 answer:
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Question 1:
y=-x+7
y=2x-2
(-x+7)=2x-2
-x+7+x=2x-2+x
7=2x-2+x
7+2=2x-2+x+2
9=3x
9/3=3x/3
3=x
y=-x+7
y=-(3)+7
y=4
Question 2:
y-1=2x
y+2x=5
y-1=2x
y-1+1=2x+1
y=2x
(2x+1)+2x=5
2x+1+2x=5
4x+1=5
4x+1-1=5-1
4x=4
4x/4=4/4
x=1
y-1=2(1)
y-1+1=2+1
y=3
Answer: x=1 y=3
y=-x+7
y=2x-2
(-x+7)=2x-2
-x+7+x=2x-2+x
7=2x-2+x
7+2=2x-2+x+2
9=3x
9/3=3x/3
3=x
y=-x+7
y=-(3)+7
y=4
Question 2:
y-1=2x
y+2x=5
y-1=2x
y-1+1=2x+1
y=2x
(2x+1)+2x=5
2x+1+2x=5
4x+1=5
4x+1-1=5-1
4x=4
4x/4=4/4
x=1
y-1=2(1)
y-1+1=2+1
y=3
Answer: x=1 y=3