3 years ago

Find an equation for the inverse of the function. F(x)=5x+1

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

5 0

Answer:

f-1(x) = (x - 1)/ 5.

Step-by-step explanation:

Lete f(x) = y = 5x + 1

Now we find an expression for x in terms of y:

y = 5x + 1

5x = y - 1

x = (y - 1) / 5

So the inverse of th function = f-1(x) = (x - 1)/ 5 (answer).

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3 years ago

Find the missing lengths:<br> LO=5 and OK=4, find OH and KH.

hodyreva [135]

Answer:

The length of KH is 6 units and OH is 6.3 units.

Step-by-step explanation:

Given the figure with lengths LO=5 and OK=4. we have to find the length of OH and KH.

In ΔLOH

By Pythagoras theorem

$LH^2=LO^2+OH^2\\\\LH^2=5^2+OH^2$ → (1)

In ΔKOH,

$KH^2=OH^2+OK^2\\\\KH^2=OH^2+4^2$ → (2)

In ΔKHL,

$KL^2=LH^2+KH^2$

Using eq (1) and (2), we get

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