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melamori03 [73]
3 years ago
11

-4 ^ 3 * 2 / 8 * 20 + 125​

Mathematics
1 answer:
attashe74 [19]3 years ago
3 0
The answer is negative one hundred 95 or -195
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Give an example of a function f : N → N that is surjective but not injective. You must explain why your example is surjective an
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Answer:

Consider f: N → N defined by f(0)=0 and f(n)=n-1 for all n>0.

Step-by-step explanation:

First we will prove that f is surjective. Let y∈N be any natural number. Define x as the number x=y+1. Then x∈N, and f(x)=x-1=(y+1)-1=y.  We conclude that f is surjective.

However, f is not injective. Take x1=0 and x2=1. Then x1≠x2 but f(x1)=0 and f(x2)=x2-1=1-1=0. We have shown that there are two natural numbers x1,x2 such that x1≠x2 but f(x1)=f(x2), that is, f is not injective.

Note:

If 0∉N in your definition of natural numbers, the same reasoning works with the function f: N → N defined by f(1)=1 and f(n)=n-1 for all n>1. The only difference is that you consider x1=1, x2=2 for the injectivity.

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Setler79 [48]

Answer:

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7 0
2 years ago
Solve for y. 3y – 12 = –6                                           A. –54          B. 2          C. 18          D. –6
erastova [34]
3y - 12 = -6
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8 0
3 years ago
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What is the product when you multiply (x2 + 2x - 5) and (x + 3) please answer asap
frozen [14]
Is that supposed to be x squared, or x times 2 in the beginning of the first one?
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If 40% of the students in the class are boys, and if there are 15 girls in the class, then how many students are in the class? *
OleMash [197]

Answer:

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Step-by-step explanation:

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2.5x6=15

10+15=25

10 boys and 15 girls

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3 years ago
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