Question

Please help me solve this problem the quickest and shortest way.

Answer 1

Answer:

-5

Step-by-step explanation:

Sometimes f(x) can be a little confusing. You never quite know where which number goes where.

Start with the first part

f(6) means that wherever you see an x on the right you put a 6.

So do this.

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

equals what

(3/2) * 6 + b = 7    That's because f(6) = 7 Now just solve it

(18)/2 + b = 7

9 + b = 7

9 - 9 + b = 7 - 9

b = - 2

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The entire equation is

y = (3/2)x - 2

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What happens when you are given

f(-2)

The - 2 means that wherever you see an x, let it be - 2

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

f(-2) = -3 - 2

f(-2) = - 5

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You could think of f(x) being y. You will not go wrong doing that. y = f(x)