A function assigns the values. The value of f(-2) is -5.
A function assigns the value of each element of one set to the other specific element of another set.
Given the value of the function for f(x) =3/2x+b, where b is a constant. Also, it is given that f(6)=7, therefore, the value of b can be found as,
f(x) =(3/2)x+b
7 = (3/2)6 + b
7 = 9 + b
b = -2
Now, as the value of b is known, therefore, the value of f(-2) can be written as,
f(-2) = (3/2)(-2) + (-2)
f(-2) = -3 -2
f(-2) = -5
Hence, the value of f(-2) is -5.
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