To find the inverse of a one-to-one function, do the following: 1. If the function is written in function notation, replace f(x)f(x) with yy. 2. Swap any xx in the function with yy, and vice versa, i.e., y=x+2y=x+2 becomes x=y+2x=y+2. 3. Solve for yy, then replac...
Trigonometry Examples sin(x)=0.8sin(x)=0.8 Take theinversesineof both sides of theequationto extractxxfrom inside thesine. x=arcsin(0.8)x=arcsin(0.8) Simplify the right side. Tap for more steps... arcsin(0.8). x=0.92729521 x=0.92729521x=0.92729521 ...
Algebra Examples 2cos(3t)=−12cos(3t)=-1 Divide term 2cos(3t)=−12cos(3t)=-1 Tap for more steps... cos(3t)=−12cos(3t)=-12 Take theinversecosineof both sides of theequationto extractttfrom inside thecosine. 3t=arccos(−12)3t=arccos(-12) ...
Precalculus Examples Subtract11from both sides of theequation. cot(x)=−1cot(x)=-1 Take theinversecotangentof both sides of theequationto extractxxfrom inside thecotangent. x=arccot(−1)x=arccot(-1) Simplify the right side. Tap for more steps... ...
Take theinversetangentof both sides of theequationto extractθθfrom inside thetangent. θ=arctan(1)θ=arctan(1) Simplify the right side. Tap for more steps... The exact value ofarctan(1)is45. θ=45 θ=45θ=45 Thetangentfunctionis positive in the first and thirdquadrants. To find ...
Verify iff−1(x)=10xf-1(x)=10xis theinverseoff(x)=log(x)f(x)=log(x). Tap for more steps... To verify the, check iff-1(f(x))=xandf(f-1(x))=x. f-1(f(x)). f-1(f(x)) f-1(log(x))by substituting in the value offintof-1. ...
Precalculus Examples cos(x)=√cos(x)=32 Multiplyeachtermby afactorof11that will equate all thedenominators. In this case, alltermsneed adenominatorof22. cos(x)⋅22=√32cos(x)2232 Multiply expression factor least common denominator
, and check your final results by multiplying. temperature scale in which water boils at and freezes at . a sequence whereby each number is the sum of the two numbers preceding it. two-dimensional shapes are often referred to as figures . to find the inverse of a one-to-one function ,...
Trigonometry Examples sin(x)=0.6sin(x)=0.6 Take theinversesineof both sides of theequationto extractxxfrom inside thesine. x=arcsin(0.6)x=arcsin(0.6) Simplify the right side. Tap for more steps... arcsin(0.6). x=0.6435011 x=0.6435011x=0.6435011 ...
Algebra Examples sin(arcsin(x))=1sin(arcsin(x))=1 Take theinversesineof both sides of theequationto extractarcsin(x)arcsin(x)from inside thesine. arcsin(x)=arcsin(1)arcsin(x)=arcsin(1) Simplify the right side. Tap for more steps... ...