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Alexus [3.1K]
3 years ago
8

What is the value of the expression f(-3) + 2f(-1) - f (4) PLEASE HELP NO LINKS

Mathematics
1 answer:
Bas_tet [7]3 years ago
5 0

Answer:

22

Step-by-step explanation:

Find f(-3) :

f(x) = x² + 2x for x ≤ -3

That means for those values of x, less than or equal to -3, this is the function.

So, f(-3) = (-3)² + 2(-3) = 9 - 6 = 3

Now, f(-1) :

From the given data, we see it is: f(x) = 2 (\frac{1}{3} )^{2x}

We take this because -1 lies between -3 and 4.

Now, f(-1) = 2 (\frac{1}{3} )^{2(-1)}

 => f = (-1) = 2(3)^{2} = 2 (9) = 18

For f(4) :

Clearly, the function is: f (x) = \frac{2x - 5}{x-7}

f (4) = \frac{2(4)-5}{4-7} = \frac{3}{-3} = -1

Therefore, <u>f(-3) + f(-1) - f(4) = 3 + 18 - (-1) = 3 + 18 + 1 = 22.</u>

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