Question

Determine if the function f(x) is the simplified form of g(x). If it is, state the non-permissible values. If it is not, determine the corrected simplified form, including the non-permissible values. (2 marks - show your work)

g(x)=(6x^2)+(x-12)/(2x+3),f(x)=3x-4

Answer 1

if f(x) = g(x), it must be true for all values of x
(all we need is ONE exception and they would not be equal)

f(1) = 6 + -11/5 = a fraction
g(1) = 3-4 = -1

so f(x) is NOT the simplified form of g(x)