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Dafna11 [192]
2 years ago
5

For which function is f(x) equal to f-1(x)?

Mathematics
1 answer:
Readme [11.4K]2 years ago
6 0
Let's solve for f.
y=f−1x
Step 1: Flip the equation.
f−x=y
Step 2: Add x to both sides.
f−x+x=y+x
f=x+y
Answer:
f=x+y
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Translate into an algebraic expression and simplify if possible. I have a total of 10 gigabytes of data on my computer, xgigabyt
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Answer:

(20-3x)/2 GB

Explanation:

Total amount of data on my computer = 10GB

Total amount of data occupied by movies = x GB

If pictures take up half the amount of space that movies do, then;

Total amount of data occupied by pictures = 1/2 of space occupied by movies = 1/2 x

If the remaining are music, the amount of space occupied by music will be expressed as shown;

Total space -(space occupied by movies + space occupied by pictures)

= 10 - (x+1/2 x)

Total amount of data occupied by music = 10 - (x+1/2 x) GB

On simplification;

= 10 - (x+1/2 x)

= 10-{(2x+x)/2}

= 10 - {3x/2}

= (20-3x)/2 GB

Hence, amount of gigabytes of music stored on my computer is expressed as (20-3x)/2 GB.

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