Use switch and solve to find f-1(x)

F(x)= the square root of x-4

Use switch and solve to find f-1(x)

F(x)= the square root of x-4

Tutors, please sign in to answer this question.

Olney, MD

f(x) = (x-4)^{1/2}

y = (x-4)^{1/2}

Switch the x's and y's, solve for the new y:

x = (y-4)^{1/2}

x^{2} = y-4 [Square both sides to get rid of the square root]

Check:

f(f^{-1}(x)) = (f^{-1}(x)-4)^{1/2} = (x^{2}+4-4)^{1/2} = (x^{2})^{1/2} = x Check!

Gilant P.

Miss Gil: Cares & Gets Results - Regents, SAT & NYS ELA & Math Exams

Jamaica, NY

4.8
(1453 ratings)

Michael E.

H.S. Mathematics Tutor (Certified NJ Teacher)

Saddle Brook, NJ

5.0
(87 ratings)

Justin H.

Math, Computer Science, and SAT Tutoring from a Google Engineer

Harrison, NJ

5.0
(363 ratings)

- Algebra 2 3009
- Algebra 4344
- Math 7990
- Prealgebra 161
- Geometry 1606
- Algebra Help 925
- Algebra Word Problem 2194
- Math Help 4593
- Word Problem 4422
- Precalculus 1322