2) Let () = x − 4 and () = x2 − 10. Find the solution to the equation () = () by sketching the functions. A) 2 and 3 B) −2 and 3 C) −3 and 2 D) 0, −3, and 2

We have been given a system of equations. and . We are asked to find the solution of the equation by sketching the functions.

We can see that f(x) is a linear function in slope-intercept form. The slope of f(x) is 1 and y-intercept at point .

We can also see that g(x) is a quadratic function. The function g(x) is an upward opening parabola, whose vertex is at point .

Upon graphing both equations, we will get our required graph as shown in the attachment.

The solution of will be the x-coordinates of points, where both functions will intersect.

We can see that both functions are intersecting at , therefore, are the solutions of   and option B is the correct choice.

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: