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vodka [1.7K]
3 years ago
8

How many 4-digit numbers are possible if the hundreds digit is 8 and if repetition of digits is allowed?

Mathematics
1 answer:
ratelena [41]3 years ago
7 0
There are 10 digits from 0 to 9
When you say 4 digit number that means it can't start with zero, then
1) there are 9 ways to chose the 1st digit (excluding zero)
2) there are only 1 ways to chose the 2nd digit (only 8))
3) there are 10 ways to chose the 3rd digit
4) there are 10 ways to chose the 4th digit

TOTAL NUMBER OF WAYS: 9 x 1 x 10 x 10 = 900

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Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.

<h3>Inverse of functions</h3>

In order to determine if the function f(x) and g(x) are inverses of each other, the composite function f(g(x)) = g(f(x))

Given the function

f(x)= 5-3x/2 and

g(x)= 5-2x/3

f(g(x)) = f(5-2x/3)

Substitute

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Similarly

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Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.

Learn more on inverse of a function here: brainly.com/question/19859934

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