 # How do you write the combined function as a composition Autohelmvt 2022-01-21 Answered
How do you write the combined function as a composition of several functions if $f\left(g\left(x\right)\right)=\sqrt{1-{x}^{2}}+2$
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Your equation for g could possibly be $\sqrt{1-{x}^{2}}$
After, we plug in x into that equation we get the same function $\left(\sqrt{1-{x}^{2}}\right)$
Next step when solving multiple step functions is to plug in your result of your first function (in our case g) into the new function (f). This is where we need another function to get $\sqrt{1-{x}^{2}}$ into $\sqrt{1-{x}^{2}}+2$
For this step we may say $\left(f\right)=x+2$
When we plug in $\sqrt{1-{x}^{2}}$ into our new $\left(f\right)=x+2$ our result is $\sqrt{1-{x}^{2}}+2$, the equation we needed to get to.