How do you solve this kind of problem?

First, we want to solve for b.

In order to solve for b, we plug in x=6 and f(x)=7 into the equation, since we know f(6)=7

7 = (3/2)(6) + b

7 = 9 + b

Subtract both sides by 9

b = -2

Now, let's insert this value into the equation

f(x) = (3/2)x - 2

Now, plug in x = -2 into the equation to calculate f(-2)

f(-2) = (3/2)(-2) - 2

= -3 -2

= -5

Thus, your answer is A.

Have an awesome day! :)

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