Question

Functions f(x) and g(x) are defined below. f(x)=1​/4x^4−2x^2+4 and g(x)=2√x​−2. Determine where f(x)=g(x) by graphing.

A. (0,0)
B. (1,2)
C. (4,4)
D. (9,6)

Answer 1

To determine where f(x) = g(x), we need to find the values of x that satisfy the equation. By substituting the respective functions into the equation, we have: 1/4x^4 - 2x^2 + 4 = 2√x - 2. To solve this equation, we can graph both functions and find the point(s) of intersection. The x-coordinate of the point(s) of intersection will give us the value(s) of x where f(x) = g(x). Therefore, we can determine where f(x) = g(x) by graphing.

Step-by-step explanation:

To determine where f(x) = g(x), we need to find the values of x that satisfy the equation. By substituting the respective functions into the equation, we have:

1/4x^4 - 2x^2 + 4 = 2√x - 2

To solve this equation, we can graph both functions and find the point(s) of intersection. The x-coordinate of the point(s) of intersection will give us the value(s) of x where f(x) = g(x). Therefore, we can determine where f(x) = g(x) by graphing.