Find the inverse function of f fx 2x 7 f1x Find the inver

Find the inverse function of f. f(x) = 2x + 7 f^-1(x) = Find the inverse function of f. f(x) = 5 - 4x f^-1(x) = Find the inverse function of f. f(x) = x/x + 5 f^-1(x) = Find the inverse function of f. f(x) = 4 -= x^2, x greaterthanorequalto 0 f^-1(x) =, x lessthanorequalto 4

Solution

f(x) = 2x + 7

y = 2x + 7

switching x and y

x = 2y + 7

solving the equation for y

(x - 7 ) / 2 = y

f^-1(x) = (x - 7 ) / 2

2) f(x) = 5 - 4x

y = 5 - 4x

switching x and y

x = 5 - 4y

solving for y

y = ( 5 - x ) / 4

f^-1 (x) = ( 5 - x ) / 4

3) f(x) = x / ( x+ 5 )

y = x / (x+5)

switching x and y

x = y / (y+5)

multiplying both sides by (y+5)

x ( y+5 ) = y

xy + 5x = y

5x = y ( 1 - x)

y = 5x / ( 1- x )

f^-1 (x) = 5x / ( 1- x)