The table shown below shows some values for functions f(x) and g(x). what is/are the solution(s) to f(x)=g(x)? explain your answer(s).
x –3 –2 –1 0 1 2
f(x) 81 27 9 3 1 1⁄3
g(x) 6 7.5 9 10.5 12 13.5

  x = -1

Step-by-step explanation:

Both tables show a function value of 9 for x = -1.

  x = -1 is the solution to f(x) = g(x), since f(-1) = 9 = g(-1).

x=-1

Step-by-step explanation:

I took the exam.

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:

quit

step-by-step explanation: