theoneandonlyallir theoneandonlyallir

22-10-2021
Mathematics

contestada

Select the equation that is the inverse of the given function.
X-3
f(x) =
5
f-1(x) = 5x +15
O f-1(x) = 5x + 3
f-1(x) = 3x - 5
o 4-16x) = x

Select the equation that is the inverse of the given function X3 fx 5 f1x 5x 15 O f1x 5x 3 f1x 3x 5 o 416x x class=

Respuesta :

mhanifa mhanifa

22-10-2021

Answer:

B. f⁻¹(x) = 5x + 3

Step-by-step explanation:

Given function:

f(x) = (x - 3)/5

Find its inverse, substitute x with y and f(x) with x:

x = (y - 3)/5
5x = y - 3
y = 5x + 3

Substitute y with f⁻¹(x):

f⁻¹(x) = 5x + 3

Correct choice is B

Answer Link

Аноним Аноним

14-07-2022

y=(x-3)/5

Interchange x and y and solve for y

x=y-3/5
5x=y-3
y=5x+3

That's the inverse

Option B

Answer Link

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