For the function fx 14 x 4 find the value of x for which f

For the function f(x) = 1/4 x - 4, find the value of x for which f(x) = x. Enter your answer as a number (like 5, -3, 2.2) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity

Solution

f(x) = x/4 -4

f(x) = x

Solve for x:   x/4 -4 = x

x(1- 1/4) = -4

x(3/4) = -4

x = -16/3   (solution)