Question
PLEASE HELP ME ITS A HUGE EMERGENCY
Which of the following statements have the same result? Explain each step in solving each one.
I. f(2) when f(x) = 3x + 2
II. f-1(3) when f(x) = 2 x minus 7, all over 3
III. 2y + 14 = 4y − 2
Which of the following statements have the same result? Explain each step in solving each one.
I. f(2) when f(x) = 3x + 2
II. f-1(3) when f(x) = 2 x minus 7, all over 3
III. 2y + 14 = 4y − 2
Asked by: USER4878
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253 Answers
Answer (253)
I.
First, plug in the number two in the place of x.
f(2) = 3(2) + 2.
Simplify
f(2) = 6+2
f(2) = 8
II.
First, we need to find the inverse function of x.
To do this, we begin by replacing f(x) with y, and switching the x and y values.
y= (2x-7)/3
x= (2y-7)/3
Then we solve for y.
3x = 2y-7
3x + 7 = 2y
(3x+7)/2 = y
Replace y with f^-1(x)
f^-1(x)= (3x+7)/2
Now that we have the inverse function, plug in 3 for x.
f^-1(x) = (3(3) + 7)/2
f^-1(x) = (9+7)/2
f^-1(x) = 16/2 = 8.
III. 2y+14 = 4y-2
Solve for y
14 = 2y - 2
16 = 2y
y = 8
So, since all of the statements have the result of 8, then all the statements have the same result.
Hope this helps!
First, plug in the number two in the place of x.
f(2) = 3(2) + 2.
Simplify
f(2) = 6+2
f(2) = 8
II.
First, we need to find the inverse function of x.
To do this, we begin by replacing f(x) with y, and switching the x and y values.
y= (2x-7)/3
x= (2y-7)/3
Then we solve for y.
3x = 2y-7
3x + 7 = 2y
(3x+7)/2 = y
Replace y with f^-1(x)
f^-1(x)= (3x+7)/2
Now that we have the inverse function, plug in 3 for x.
f^-1(x) = (3(3) + 7)/2
f^-1(x) = (9+7)/2
f^-1(x) = 16/2 = 8.
III. 2y+14 = 4y-2
Solve for y
14 = 2y - 2
16 = 2y
y = 8
So, since all of the statements have the result of 8, then all the statements have the same result.
Hope this helps!
my handwriting is a bit bad sorry but im sure I got the right answer here
