20 pts+brainliest:

consider the function f(x) = -2/3x + 5.

what is f(5/2)?
enter your answer in the box as a simplified fraction.

f(5/2) = ?

3 1/3.

Step-by-step explanation:

f(5/2) = -2/3 * 5/2 + 5

= -10/6 + 5

= 5 - 5/3

= 10/3

= 3 1/3.

10/3 or 3 1/3

Step-by-step explanation:

To solve this problem, we first combine our numbers which in this case are 5/2 which add to function f (x)

Now we have f(x) = -2/3(5/2) + 5.

= -10/6 +5

= -10+30/6

=20/6 = 10/3

= 3  1/3

To solve from here, we need to subtract 10 from the 30 of the equation. Whatever we do to one side,  we get 8.

Now we have f(5/2) = 10/3  or 3 1/3

This means that f(5/2) = 10/3  or 3 1/3

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

correct answer:

a + bi