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Nonamiya [84]
3 years ago
13

19. If f(x) = 6x + 3, find f-1(x).

Mathematics
1 answer:
KengaRu [80]3 years ago
4 0

Answer:

f^{-1}(x) = \frac{x-3}{6}

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 6x + 3 ( subtract 3 from both sides )

y - 3 = 6x ( divide both sides by 6 )

\frac{y-3}{6} = x

change y back into terms of x, thus

f^{-1}(x) = \frac{x-3}{6}

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Answer:

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Step-by-step explanation:

Given;

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let the common difference = d

The third term is written as;

T₃ = a + 2d

The eight term is written as;

T₈ = a + 7d

The ratio of the eight term to third term = 7:1

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Therefore, the common difference is 6.

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