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f(x)=2x−5 if x≤−3

Since the value of x is -3, the first function will be the correct option.

Step-by-step explanation:

The given function is -

f(x)=2x−5 if x≤−3

f(x)=−3x+4 if x>−3

Now we have to evaluate f(-3).

Since we have to calculate the value of f at x = -3, we have to choose the first function.

That is f(x) = 2x - 5.

Hence,

f(−3)=2∗(−3)−5=−6−5=−11

Therefore we have the value

f(−3)=−11

Since the domain of the function is divided into two parts, we have to choose any one function for a given value of x,

For values of x less than or equal to -3, we will use the first function. That is,

f(x)=2x−5 for all x∈(−∞,−3]

And for values of x greater than -3, we will use the second function. That means,

f(x)=−3x+4 for all x∈(−3,∞)

this shows a reflection over the x-axis and is translated one unit down and 6 units to the right (x + 6, y - 1)

hope this !

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step-by-step explanation: