Find the following:
i dont know what else to put

0

(1/3)x+13/3

5

Step-by-step explanation:

1. Like any function, g takes numbers from it's domain (-8, -3, 0, 7), and transforms them into numbers in it's range (8, 6, -3, 3). g^-1, it's inverse, maps back from the range into the domain. Since g maps 0 onto -3, g^-1 must turn -3 back to 0

g(0)=-3 == g`(-3)=0

2. To find the inverse of h, let h(x)=y.

Now, y=3x-13

Remember that the inverse maps from the range (the y values) back to the domain (the x's), We want the function that takes a y and turns it into an x. For this, we must solve for x.

From above, y/3+13/3=x

Now that we rearranged h, we must flip the x and y to get the inverse. This happens because the range of h acts as the domain for h^-1

3. The function h will turn 5 to some unknown number. Let's call it w. Then, if you pass w to h^-1, it will be turned back to a 5.

This is equivalent to computing the functions in the reverse order, or writing the composite, which results in x=y, and then computing

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

10.416 m/s

step-by-step explantion:

distance=100m

time= 9.6s

average speed=100/9.6

=10.416 m/s