if g(t)=4+square root of 9-t, what is the smallest possible value of g(t)

A) 0
B) 3
C) 4
D) 5
E) 9

3 answers

clearly the smallest value is 4 which is choice C)
why is the smallest value 4?
your equation was

g(t) = 4 + √(9-t)

you already had 4 and you are adding more to it (the √(9-t)), so g(t) can only become larger since by definition the √ of a number yields a positive result.

So when t=9 you would have
g(t) = 4 + 0
= 4

(the smallest value I can ADD to anything is zero)
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