# Function Arithmetic & Composition Calculator

##  Evaluate function at a value, compositions and arithmetics step-by-step

| x^2 | x^{\msquare} | \log_{\msquare} | \sqrt{\square} | \nthroot[\msquare]{\square} | \le | \ge | \frac{\msquare}{\msquare} | \cdot | \div | x^{\circ} | \pi  
---|---|---|---|---|---|---|---|---|---|---|---  
\left(\square\right)^{'} | \frac{d}{dx} | \frac{\partial}{\partial x} | \int | \int_{\msquare}^{\msquare} | \lim | \sum | \infty | \theta | (f\:\circ\:g) | H_{2}O |   
  
_\bold{\mathrm{Basic}}_ | _\bold{\alpha\beta\gamma}_ | _\bold{\mathrm{AB\Gamma}}_ | _\bold{\sin\cos}_ | _\bold{\ge\div\rightarrow}_ | _\bold{\overline{x}\space\mathbb{C}\forall}_ | _\bold{\sum\space\int\space\product}_ | _\bold{\begin{pmatrix}\square &\square\\\\\square&\square\end{pmatrix}}_ | _\bold{H_{2}O}_  
---|---|---|---|---|---|---|---|---  
| _\square^{2}_ | _x^{\square}_ | _\sqrt{\square}_ | _\nthroot[\msquare]{\square}_ | _\frac{\msquare}{\msquare}_ | _\log_{\msquare}_ | _\pi_ | _\theta_ | _\infty_ | _\int_ | _\frac{d}{dx}_  
---|---|---|---|---|---|---|---|---|---|---  
_\ge_ | _\le_ | _\cdot_ | _\div_ | _x^{\circ}_ | _(\square)_ | _|\square|_ | _(f\:\circ\:g)_ | _f(x)_ | _\ln_ | _e^{\square}_  
---|---|---|---|---|---|---|---|---|---|---  
_\left(\square\right)^{'}_ | _\frac{\partial}{\partial x}_ | _\int_{\msquare}^{\msquare}_ | _\lim_ | _\sum_ | _\sin_ | _\cos_ | _\tan_ | _\cot_ | _\csc_ | _\sec_  
_\alpha_ | _\beta_ | _\gamma_ | _\delta_ | _\zeta_ | _\eta_ | _\theta_ | _\iota_ | _\kappa_ | _\lambda_ | _\mu_  
---|---|---|---|---|---|---|---|---|---|---  
_\nu_ | _\xi_ | _\pi_ | _\rho_ | _\sigma_ | _\tau_ | _\upsilon_ | _\phi_ | _\chi_ | _\psi_ | _\omega_  
_A_ | _B_ | _\Gamma_ | _\Delta_ | _E_ | _Z_ | _H_ | _\Theta_ | _K_ | _\Lambda_ | _M_  
---|---|---|---|---|---|---|---|---|---|---  
_N_ | _\Xi_ | _\Pi_ | _P_ | _\Sigma_ | _T_ | _\Upsilon_ | _\Phi_ | _X_ | _\Psi_ | _\Omega_  
_\sin_ | _\cos_ | _\tan_ | _\cot_ | _\sec_ | _\csc_ | _\sinh_ | _\cosh_ | _\tanh_ | _\coth_ | _\sech_  
---|---|---|---|---|---|---|---|---|---|---  
_\arcsin_ | _\arccos_ | _\arctan_ | _\arccot_ | _\arcsec_ | _\arccsc_ | _\arcsinh_ | _\arccosh_ | _\arctanh_ | _\arccoth_ | _\arcsech_  
_+_ | _-_ | _=_ | _\div_ | _/_ | _\cdot_ | _\times_ | _<_ | _>_ | _\le_ | _\ge_  
---|---|---|---|---|---|---|---|---|---|---  
_(\square)_ | _[\square]_ | _\frac{\square}{\square}_ | _\sqrt{\square}_ | _\nthroot[\msquare]{\square}_ | _\square!_ | _|\square|_ | _x^{\circ}_ | _\square^'_ | _\square^{''}_ | _\rightarrow_  
_\overline{\square}_ | _\vec{\square}_ | _\in_ | _\forall_ | _\notin_ | _\exist_ | _\mathbb{R}_ | _\mathbb{C}_ | _\mathbb{N}_ | _\mathbb{Z}_ | _\square\deg_  
---|---|---|---|---|---|---|---|---|---|---  
_\int_ | _\int\int_ | _\int\int\int_ | _\int_{\square}^{\square}_ | _\int_{\square}^{\square}\int_{\square}^{\square}_ | _\int_{\square}^{\square}\int_{\square}^{\square}\int_{\square}^{\square}_ | _\sum_ | _\sum _{n=0}^N_  
---|---|---|---|---|---|---|---  
_\lim_ | _\lim _{x\to \infty }_ | _\lim _{x\to 0+}_ | _\lim _{x\to 0-}_ | _\frac{d}{dx}_ | _\frac{d^2}{dx^2}_ | _\left(\square\right)^{'}_ | _\left(\square\right)^{''}_ | _\frac{\partial}{\partial x}_  
_(2\times2)_ | _(2\times3)_ | _(3\times3)_ | _(3\times2)_ | _(4\times2)_ | _(4\times3)_ | _(4\times4)_ | _(3\times4)_ | _(2\times4)_ | _(5\times5)_ |   
---|---|---|---|---|---|---|---|---|---|---  
_(1\times2)_ | _(1\times3)_ | _(1\times4)_ | _(1\times5)_ | _(1\times6)_ | _(2\times1)_ | _(3\times1)_ | _(4\times1)_ | _(5\times1)_ | _(6\times1)_ | _(7\times1)_  
_\mathrm{Radians}_ | _\mathrm{Degrees}_ | _\square!_ | _(_ | _)_ | _%_ | _\mathrm{clear}_  
---|---|---|---|---|---|---  
_\arcsin_ | _\sin_ | _\sqrt{\square}_ | _7_ | _8_ | _9_ | _\div_  
_\arccos_ | _\cos_ | _\ln_ | _4_ | _5_ | _6_ | _\times_  
_\arctan_ | _\tan_ | _\log_ | _1_ | _2_ | _3_ | _-_  
_\pi_ | _e_ | _x^{\square}_ | _0_ | _._ | _\bold{=}_ | _+_  
  
## Examples

  * f(x)=2x+3,\:f(2)
  * f(x)=2x+3,\:f(x+2)
  * f(x)=2x+3,\:g(x)=-x^2+5,\:(f\:\circ \:g)(x)
  * f(x)=2x+3,\:g(x)=-x^2+5,\:(f\:(g(x)))
  * f(x)=2x+3,\:g(x)=-x^2+5,\:(f\:+g)(x)
  * f(x)=2x+3,\:g(x)=-x^2+5,\:f\:-\:g



function-arithmetic-composition-calculator

f(x)=2x+3, g(x)=-x^2+5, (f (g(x)))