If f(x)= Sqrt 2+5x find f^-1.
is this sqrt(2+5x) ? or sqrt2 + 5x?
sqrt (2+5x) sorry
To find the inverse of the function f(x) = sqrt(2) + 5x, we need to switch the roles of x and y and solve for y.
Step 1: Replace f(x) with y.
y = sqrt(2) + 5x
Step 2: Swap x and y.
x = sqrt(2) + 5y
Step 3: Solve for y.
x - sqrt(2) = 5y
(y^-1) * (x - sqrt(2)) = ((y^-1) * 5y)
y^-1 = (x - sqrt(2)) / 5
Therefore, the inverse of the function f(x) = sqrt(2) + 5x is f^(-1)(x) = (x - sqrt(2)) / 5.