jossslin0625 jossslin0625
  • 23-05-2020
  • Mathematics
contestada

For the function f(x) = (x-3)1/2, find f^-1(x)

For the function fx x312 find f1x class=

Respuesta :

19allenethm
19allenethm 19allenethm
  • 23-05-2020

Answer:

[tex]f^{-1}(x)=x^2+3[/tex]

Step-by-step explanation:

We begin with the function [tex]f(x)=(x-3)^{\frac{1}{2} }[/tex]

The first thing we must do is swap the locations of f(x) and x. For the sake of simplicity, lets replace f(x) with y.

[tex]x=(y-3)^{\frac{1}{2} }[/tex]

Now, we just need to solve for y

[tex]x=(y-3)^{\frac{1}{2} } \\\\x^{2} =y-3\\\\y=x^2+3\\\\f^{-1}(x)=x^2+3[/tex]

Answer Link

Otras preguntas

At a large company retreat, management orders subs for lunch. They hypothesize that 50% of the attendees will choose a turkey sub, 40% will choose a ham sub, an
I already tried 21 and that was incorrect
Where was the setting of chapter 19 in among the hidden?
Given that sin^2A/1+2cos^2A=3/19 show that sinA/1+2cosA=3/13
Will mark BRAINLIEST
Read the definition of imperialism at the top of the page. In your own words, explain what the goal of imperialism is.
ext O Post Test: Capstone Project: Cultural Relevance 19 Submit Test Select the correct answer. Eloise is writing a research paper about whether college athlete
Answer the statistical measures and create a box and whiskers plot for the following set of data. 7,7,8,8,8, 10, 10, 11, 12, 13, 13, 16, 17, 17
4. Record at least three details that indicate how cherry character views the event.
an = -4 • 5^n-1 Fill in the first five terms