IDNLearn.com: Where your questions are met with thoughtful and precise answers. Ask any question and receive comprehensive, well-informed responses from our dedicated team of experts.
Sagot :
f(X)=4x+12-5=4x+7
so
{f(x)-7}/4=x
now in inverse func. f(x0 is converted into x and x is converted into
f(x)^-1
so
f(x)^-1=[x-7]/4
now if x=3
f(3)^-1=[3-7]/4=-4/4=-1
so
{f(x)-7}/4=x
now in inverse func. f(x0 is converted into x and x is converted into
f(x)^-1
so
f(x)^-1=[x-7]/4
now if x=3
f(3)^-1=[3-7]/4=-4/4=-1
[tex]f(x)=4(x+3)-5\\
y=4(x+3)-5\\
y=4x+12-5\\
y=4x+7\\
4x=y-7\\
x=\frac{1}{4}y-\frac{7}{4}\\
f^{-1}(x)=\frac{1}{4}x-\frac{7}{4}\\
f^{-1}(3)=\frac{1}{4}\cdot3-\frac{7}{4}\\
f^{-1}(3)=\frac{3}{4}-\frac{7}{4}\\
f^{-1}(3)=-\frac{4}{4}\\
f^{-1}(3)=-1[/tex]
We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com is committed to providing the best answers. Thank you for visiting, and see you next time for more solutions.