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

answer is b

f^-1(x)=5x+3

Step-by-step explanation:

Step-by-step explanation:

Given function:

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

Substitute y with f⁻¹(x):

Correct choice is B

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15