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Citrus2011 [14]
3 years ago
12

Find the inverse of the function. f(x) = 5x + 6

Mathematics
1 answer:
Mice21 [21]3 years ago
7 0
F(x) = 5x + 6

let y = f(x)

y = 5x + 6    solving for x.

y - 6 = 5x

5x = y - 6

x = (y - 6)/5

Recall   f(x) = y.   Implies  x = f⁻¹(y)

<span>x = (y - 6)/5
</span>
f⁻¹(y) <span>= (y - 6)/5
</span>
So as well:

f⁻¹(x) <span>= (x - 6)/5</span>
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N; n+1; n+2 - 3 consecutive numbers

n(n + 1) = (n + 2)² - 19    |use a(b + c) = ab + ac and (a + b)² = a² + 2ab + b²

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n + 2 = 5 + 2 = 7

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