How to add two functions and display the sum?

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Saumya
Saumya on 6 Feb 2023
Edited: Sarvesh Kale on 6 Feb 2023
I am trying to add two functions together and display the addition as a new function.
f=@(x) x^2+x;
g=@(x) 3*x^2+5*x;
z=f(x)+g(x);
I want to print z as:
@(x) 4*x^2+6*x
How do I achieve this? The disp function only gives the output of z as @(x) f(x)+g(x)
  1 Comment
Dyuman Joshi
Dyuman Joshi on 6 Feb 2023
Edited: Dyuman Joshi on 6 Feb 2023
function handles don't resolve the expression per say, for example -
a = 1.3;
b = .2;
c = 30;
parabola = @(x) a*x.^2 + b*x + c
parabola = function_handle with value:
@(x)a*x.^2+b*x+c
This is not displayed as
par = @(x) 1.3*x.^2 + 0.2*x + 30
par = function_handle with value:
@(x)1.3*x.^2+0.2*x+30
Your closest option I think is syms
syms f(x) g(x)
f(x)=x^2+x;
g(x)=3*x^2+5*x;
%symbolic function
z(x)=f(x)+g(x)
z(x) = 
%Converting the symbolic function into function handle
z=matlabFunction(z)
z = function_handle with value:
@(x)x.*6.0+x.^2.*4.0

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Answers (1)

Sarvesh Kale
Sarvesh Kale on 6 Feb 2023
Edited: Sarvesh Kale on 6 Feb 2023
Hi Saumya,
You can try the symbolic math to solve your issue
syms x
f = x*x + x ;
g = 3*x*x + 5*x ;
z = f + g
z = 
x = 3;
subs(f) % will give you f(3)
ans = 
12
subs(z) % will give you f(3) + g(3)
ans = 
54
You can refer the documentation of symbolic math library for symbolic functions

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