Replace f(x) with y
switch x and y
solve for y
replace y with f⁻¹(x)
f(x)=x-1
y=x-1
x=y-1
x+1=y
x+1=f⁻¹(x)
f⁻¹(x)=x+1
Using translation concepts, the coordinates that will best represent point E′ are given by:
D. (11, 1).
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the rule to find the image of a point (x,y) is given by:
(x, y) → (x + 8, y + 5).
Then, the rule to find the image E' of point E(3,-4) is given by:
(3,4 -> (3 + 8, -4 + 5) = (11,1).
Hence option D is correct.
More can be learned about translation concepts at brainly.com/question/4521517
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Kirsten had to drive 5 miles north, and then turn to the east for 12 miles where she found a nice parking spot at the Movie Theater :)
If the image represents the road she drove, she did travel 5 + 12 miles, thus she finally travelled 17 miles.
Answer:
Step-by-step explanation:
2*x + 3 = 1/2x + 30 Subtract 3 from both sides
<u> - 3 -3</u>
2x = 1/2x + 27 Subtract 1/2 x from both sides
<u>1/2 x -1/2 x</u>
1 1/2 x = 27 change 1 1/2 to 3/2
3/2 x = 27 Multiply by 2/3
2/3 * 3/2x = 27 * 2/3
x = 18
