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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

☐²

x^☐

√☐

^□√☐

□□

log_□

θ

∞

∫

ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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inverse 2cos²(x)

Solution

arccos(√x2 ), arccos(−√x2 )

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Function Inverse definition

A function g is the inverse of function f if for y=f(x), x=g(y)

Solve for cos(x), y=2cos²(x)

cos(x)=√y2 , cos(x)=−√y2

cos(a)=b ⇒ a=arccos(b)

arccos(√y2 ), arccos(−√y2 )

Substitute y=x

arccos(√x2 ), arccos(−√x2 )

Solve instead

domain 2cos²(x)

range 2cos²(x)

periodicity 2cos²(x)

Order of operations three/four steps with parentheses Examples

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

(35-12\div4)\div8

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