Are the functions inverse of each other?

f(x)=5x^2+3, g(x)sqrt x-3/5

No.

Step-by-step explanation:

Plugging in g(x) into f(x), you don't get x. g(x) would need to be =

  no

Step-by-step explanation:

The function f(x) does not pass the horizontal line test, so has no inverse, except on a restricted domain. The question does not include any restriction on the domain, so the functions are not inverses of each other.

If we assume your functions are ...

Then the value of g(f(x)) is ...

This is only equal to x when x ≥ 0. For x < 0, g(f(x)) ≠ x, so the functions are not inverses.

_____

You can see from the graph that the function g(x) is not the reflection of f(x) across the line y=x. If the functions were inverses, each would be a reflection of the other.

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0