eazatyan0002
eazatyan0002 eazatyan0002
  • 02-12-2021
  • Mathematics
contestada

WILL GIVE BRAINLIEST
Show how to find the inverse of f(x)= x^2+3. Show work and explain step by step.

Respuesta :

loneguy
loneguy loneguy
  • 02-12-2021

[tex]f(x) = x^2 +3 \\\\\text{Write f(x) as}~ y = x^2 +3 \\\\\text{Replace x with y and solve for y}\\\\x = y^2+3\\\\\implies y^2 = x-3\\\\\implies y=\pm\sqrt{x-3}\\\\\implies f^{-1}(x) = \pm\sqrt{x-3}\\\\\text{This is the inverse of f(x).}[/tex]

Answer Link

Otras preguntas

What are cell products modified and packaged in vesicles for transport?
Please help me out!!!!
Someone help please
How does the greenhouse effect help to explain earths climate
The loudness, L , of a sound (measured in decibels, dB) is inversely proportional to the square of the distance, d , from the source of the sound. A person
Is this correct question correct?
A caterpillar climbs up a one-meter wall. For every 2 cm it climbs up, it slides down 1 cm. It takes 10 minutes for the caterpillar to climb to the top. Calcula
What is the difference between condensation synthesis and hydrolysis?
I don’t know the answer or how to get it
Describe the steps to be taken in the event 10 ml of ethanol in a 50ml beaker ignites