Answer:
Explanation:
f(x)= 12x2+5 should be written as f(x) = 12x^2 + 5; the " ^ " symbol signifies exponentiation and is mandatory.
Here's how we find the inverse function.
1. Apply the horizontal line test. if a horizontal line intersects the graph in more than one place, the function is not one-to-one and does not have an inverse for all x. However, if we focus on only [0, infinity), this part of the graph does have an inverse, which we can find as follows:
2. Replace 'f(x)' with 'y: y = 12x^2 + 5
3. Interchange x and y: x = 12y^2 + 5
x - 5
4. Solve for y: 12y^2 = x - 5; y^2 = ------------
12
x - 5
y = √(----------)
12