Drag each tile to the correct box.

use these functions to place the function compositions in order from least to greatest value.
f(x) = 2x^2
g(x) = x − 2

(g ο f)(0) < (f ο g)(3.5) < (g ο f)(- 2) <  (f ο g)(0) < (g ο f)(3.5) < (f ο g)(-2)  

Step-by-step explanation:

We are given that f(x) = 2x² and g(x) = x - 2

Therefore, (f ο g)(x) = f[]g(x)] = 2(x - 2)² (1)

and (g ο f)(x) = g[f(x)] = 2x² - 2 (2)

Therefore, (f ο g)(-2) = 32 {from equation (1)}

(f ο g)(3.5) = 4.5 {From equation (1)}

And (f ο g)(0) = 8 {From equation (1)}

Now, (g ο f)(- 2) = 6 {From equation (2)}

(g ο f)(3.5) = 22.5 {From equation (2)}

And (g ο f)(0) = -2 {From equation (2)}

Therefore, if we arrange those values from least to greatest value, then we will get

(g ο f)(0) < (f ο g)(3.5) < (g ο f)(- 2) <  (f ο g)(0) < (g ο f)(3.5) < (f ο g)(-2)  (Answer)

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.