Let f(x) = 2- x^2 and g(x) = x^2 -2. How do you solve f(x) = g(x) ? Algebra Graphs of Linear Equations and Functions Function Notation and Linear Functions 1 Answer Harold Walden Sep 29, 2015 #x=+-sqrt(2)# Explanation: If #f(x)=g(x)# then #2-x^2=x^2-2# and #4=2x^2# #2=x^2# Therefore, #x=sqrt(2), x=-sqrt(2)# Hope this helps :) Answer link Related questions What is an example of a linear equation written in function notation? What is a function? How do you evaluate #f(4)# given the function #f(x)=2x-6#? How do you evaluate #g(-1)# given the function #g(t)=-5t+1#? How do you write linear equations in function notation? How do you rewrite #9x+3y=6# in function notation? How do you evaluate #f(p)# given the function #f(x)=6x-36#? What are linear functions? How do you evaluate #f(0)# given the function #f(x)=\frac{5(2-x)}{11}#? How do you evaluate #f(-1)# given the function #f(t)=\frac{1}{2} t^2+4#? See all questions in Function Notation and Linear Functions Impact of this question 2106 views around the world You can reuse this answer Creative Commons License