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elena-14-01-66 [18.8K]
2 years ago
10

What is the effect on the graph of the function f(x) = 2x when f(x) is replaced with f(x − 3 5 )? A) translate vertically 3 5 un

its up B) translate vertically 3 5 units down C) translate horizontally 3 5 units left D) translate horizontally 3 5 units right
Mathematics
1 answer:
Arte-miy333 [17]2 years ago
3 0

Answer:

D.

Step-by-step explanation:

Translates horizontally 3.5 units right.

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F(x)=2x+4/3

Replace f(x) by y:
y=2x+4/3

Solving for x:
y-4/3=2x+4/3-4/3

Subtracting the two terms on the left side of the equation:
(3y-4)/3=2x

Dividing both sides of the equation by 2:
[(3y-4)/3]/2=2x/2
[(3y-4)/3]*(1/2)=x
[(3y-4)*1]/[(3)*(2)]=x
(3y-4)/6=x
x=(3y-4)/6

Replace "x" by "f^(-1) (x)" (inverse function) and "y" by "x":
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Then, for x=6 
f^(-1) (6) = [ 3(6)-4]/6
f^(-1) (6) = (18-4)/6
f^(-1) (6)= 14/6
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Her hair will have grown 6 after 7/3 = 2.33 months


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