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zubka84 [21]
3 years ago
13

Let f(x) = x2 - 81. Find f-1(x).

Mathematics
1 answer:
aalyn [17]3 years ago
5 0
The answer is <span>1) ± √x+81
</span>
Step 1: Substitute y for f(x). <span>
Step 2: </span>Since every (x, y) has its partner (y, x)y switch x and y.
Step 3: <span>Solve for y.

Step 1.
The function is:         f(x) = x</span>² - 81
Substitute y for f(x):   y = x² - 81

Step 2.
Switch x and y: x = y² - 81

Step 3.
Solve for y (which is now f⁻¹(x)): f⁻¹(x) = y
x = y² - 81
y² = x + 81
y = +-√(x+81)

Therefore, the choice 1) is correct.
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Step-by-step explanation:

Given:

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