MHB If g(x) =(kx-p)/(2) , g(7) = 8 , g(5) = 5 then find the value of x and g(x)

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The discussion focuses on solving the function g(x) = (kx - p)/2, given g(7) = 8 and g(5) = 5, prompting the need to find values for k and p rather than x. Participants emphasize the importance of showing work to facilitate better assistance. Additionally, there is a request to clarify the concept of an "onto function" in relation to the function f(x) = x + 1. The conversation highlights the need for deeper understanding and clear communication in mathematical problem-solving. Overall, the thread encourages collaborative learning through shared progress and definitions.
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1) If g(x) = \frac{kx-p}{2} , g(7) = 8 , g(5) = 5 then find the value of x and g(x) .
2 )Show that f : N \implies N and f(x) = x+1 is onto function .
 
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Riwaj said:
1) If g(x) = \frac{kx-p}{2} , g(7) = 8 , g(5) = 5 then find the value of x and g(x) .
? x has values 5 and 7 and the corresponding values of g(x) are 5 and 8. You are GIVEN that! A more reasonable problem would be to find the values of k and p.

2 )Show that f : N \implies N and f(x) = x+1 is onto function .

Do you know what "onto function" means? What is the definition?
 
Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
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