And if f(x)=1/2 and g (x)=x-2 how do i calculate:
F-1 (4)
To calculate the inverse of a function, you need to follow a few steps:
Step 1: Write the function as y = f(x).
In this case, f(x) = 1/2, so we can rewrite it as y = 1/2.
Step 2: Swap x and y.
Interchange x and y, so we have x = 1/2.
Step 3: Solve for y.
Rearrange the equation to solve for y. In this case, y is already isolated:
y = 1/2.
Step 4: Replace y with f^(-1)(x).
Replace y with f^(-1)(x), indicating the inverse function. So we have:
f^(-1)(x) = 1/2.
Step 5: Find f^(-1)(4).
Substitute x = 4 into the equation f^(-1)(x) = 1/2:
f^(-1)(4) = 1/2.
Therefore, the value of f^(-1)(4) is 1/2.