SOLUTION: O.K My instructions were " for each function, find the specified function value, if it exists." The problem is f(t)= square root of 5t-10; f(6), f(2), f(1), f(-1) I can't figur

Question 30019: O.K My instructions were " for each function, find the specified function value, if it exists." The problem is
f(t)= square root of 5t-10; f(6), f(2), f(1), f(-1)
I can't figure out how to get the answers and what is "Does Not Exist"?
PLease help and thanks
Answer by sdmmadam@yahoo.com(530) (Show Source): You can put this solution on YOUR website!
f(t)= square root of 5t-10; f(6), f(2), f(1), f(-1)
f(t)= sqrt(5t-10) ----(1)
Since in the real number system the sqrt of a negative quantity is not defined we say that for some t if we happen to get the quantity under the root as a negative one then such a thing is not defined which means we cannot find an image f(t) for this t because such a t cannot be entertained in the domain for whom we are not able to give it an associate in the codomain for the funciton f
When we say that f is a function from the real number system R to R we mean
f is a rule that 1)HAS TO give an associate called image in the second set(codomain set) for EVERY t in the first set (domain set) And 2)no member of the domain can have more than one image in the codomain set.
Putting t=6 in (1)
f(6) =sqrt[5X6-10]=swrt(30-10) = sqrt(20) = sqrt(4X5) =2 times sqrt of 5
Putting t=2 in (1)
f(2) =sqrt[5X2-10]=swrt(10-10) = sqrt(0) = 0
Putting t=1 in (1)
f(1) =sqrt[5X1-10]=swrt(5-10) = sqrt(-5) not defined in the real number system
So f(1) does not exist.
(Got the point!)
Putting t=-1 in (1)
f(-1) =sqrt[5X(-1)-10]=swrt(-5-10) = sqrt(-15) not defined in the real number system
So f(-1) does not exist!.
Answer: f(6) = 2 times sqrt of 5
f(2) = 0
f(1) does not exist.
f(-1) does not exist.

RELATED QUESTIONS
f(x)= "3x-12"-under square root symbol. find the specified function value, if it... (answered by jim_thompson5910)

Find (if it exists) each function value of f(t)=the square root of t^2+1 and so... (answered by richard1234)

Find (if it exists) each function value of f(t)=the square root of t^2+1 and so... (answered by robertb)

Evaluate each function for the value specified. f(x)=x^2-x-2; find... (answered by jim_thompson5910)

Evaluate each function for the value specified. f(x) = x^2 - x -2; find... (answered by checkley77)

find the inverse of each function, if it exists. show work... (answered by tommyt3rd)

Evaluate each function for the value specified. f(x)=x^2-7x+10; find (a)f(0), (b)f(5), (answered by solver91311)

Could you please help me with these problems. Thank you Find each function value, if it... (answered by RAY100)

Evaluate each function for the value specified. f(x) = x^2 - 7x + 10; find (a) f... (answered by Earlsdon)