Find the inverse of each function. f(n)=n+4/2

Mathematics

1 answer:

Ipatiy [6.2K]2 years ago

3 0

Step-by-step explanation:

$f(n) = \frac{ n +4}{2} \\ let \: f(n) = y \implies \: n = {f}^{ - 1}(y) \\ \therefore \: y = \frac{ n +4}{2} \\ \\ \therefore \:2 y = n +4 \\ \\ \therefore \:2 y - 4= n \\ \therefore \:n = 2y - 4 \\ \\ \therefore \: {f}^{ - 1}(y) = 2y - 4 \\ \\ \red{ \boxed{\bold{\therefore \: {f}^{ - 1}(n) = 2n- 4} }}$

(Replacing y by n)

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Which number should follow in this series: 64/64 9/12 6/12

zheka24 [161]

Answer: $\frac{1}{4}$

Step-by-step explanation:

You can reduce the fractions, then:

$\frac{64}{64}=1$

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Rewrite them as following:

$1,\frac{3}{4},\frac{1}{2}$

If you subtract the first number and the second number, you obtain:

$1-\frac{3}{4}=\frac{1}{4}$

If you subtract the second number and the second number, you obtain:

$\frac{3}{4}-\frac{1}{2}=\frac{1}{4}$

Therefore, you must subtract $\frac{1}{2}$ and $\frac{1}{4}$ to obtain the number asked. Then, this is:

$\frac{1}{2}-\frac{1}{4}=\frac{1}{4}$

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3 years ago

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Troyanec [42]

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What is the slope of the line on the graph?

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