Answer:
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,∞)
