Answered

IDNLearn.com: Where your questions meet expert advice and community insights. Discover thorough and trustworthy answers from our community of knowledgeable professionals, tailored to meet your specific needs.

Let f(x) = x2 - 81. Find f-1(x).

Sagot :

A386idn
To make this simpler, make f(x) be y.
[tex]f(x)= x^{2} -81\\ y=x^{2} -81\\[/tex]

Switch x and y to find inverse
[tex]y=x^{2} -81\\ x=y^{2} -81\\[/tex]

Now, solve for y.
[tex]x=y^{2} -81\\ x+81=y^{2} -81+81\\ x+81=y^{2}\\ \sqrt{x+81} = \sqrt{y^{2}} \\ y =\sqrt{x+81}[/tex]
We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Thank you for choosing IDNLearn.com for your queries. We’re committed to providing accurate answers, so visit us again soon.