The inverse of g(x) is a function. true or false.

The correct choice is B. FALSE

Step-by-step explanation:

Given the function G(x)

Now, to check whether the inverse of G(x) exists or not :

We first check if G(x) is one-one and onto because a function has inverse if and only if the function is one-one and onto.

Now, First to check G(x) is one-one graphically : We use horizontal line test which states that every horizontal line must intersect the graph of the function at at most one point.

But in the given graph if we take horizontal line to be y = 0 then it intersects the graph at 3 points

⇒ we get same images at different values of x. So, G(x) is not one-one

Hence, inverse of G(x) does not exist and as a result cannot be function.

Therefore, The correct choice is B. FALSE

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.

5/12, or 5: 12

step-by-step explanation: