boden44aten boden44aten
  • 17-01-2020
  • Mathematics
contestada

find the inverse of the function f(x)= 4x-2

Respuesta :

joy123333
joy123333 joy123333
  • 17-01-2020

Answer:

f⁻¹(x) = x/4 + 1/2

Step-by-step explanation:

To find the inverse of a function, switch the x and y variables, then isolate y.

f(x) replaced y, so you can replace it back.

y = 4x - 2

x = 4y - 2   Switched x and y

x + 2 = 4y  Added 2 to both sides

y = x/4 + 2/4    Divided both sides by 4

y = x/4 + 1/2   Simplified

f⁻¹(x) = x/4 + 1/2    Use function notation

Answer Link

Otras preguntas

if any body is good with credit can you help on these couple of questions. . You should have ____ revolving credit lines. . . 3. 1 to 3. 2. 2 to 6
find the slope, if it exists. y=-5/8x-3
physics law of machine
how did the gold rush effect the u.s populaition
definition for the oppression of active subjugation
A triangle has angles that measure 106° and 59°. what is the measure of the third angle? a.15° b.47° c.74º d.121
is this perpendicular or parallel y=x and y=x+2
Gloves would not be worn in which of the following examples? a. when assisting with a surgical procedure b. when touching blood or body fluids c. when perfor
The estimated product of two numbers, that are not multiples of ten, is 2,800.
what is the symbol definition for average speed? (i.e the formula)