ramanwaterfalls2259 ramanwaterfalls2259
  • 11-10-2021
  • Mathematics
contestada

For any linear function f(x) = mx + b, when does kf(x) = f(kx)?

Respuesta :

LammettHash
LammettHash LammettHash
  • 11-10-2021

Only when b = 0 or k = 1.

If f(x) = mx + b, then

f (kx) = m (kx) + b = mkx + b

while

k f(x) = k (mx + b) = kmx + kb

The two expression are identical only if

kb = b   ===>   kb - b = 0   ===>   b (k - 1) = 0   ===>   b = 0 or k = 1

Answer Link

Otras preguntas

Find the area of a trapezoid, given the bases b1 = 5.6 cm and b2 = 8.5 cm and height h = 6 cm. 50.6 cm2 42.3 cm2 84.6 cm2 25.3 cm2
How did the Framers resolve the conflict over the size of Congress? A. All state legislatures would be bicameral. B. All state legislatures would be unicameral.
Trig ratio help pleaseeeee
You need 1 1 4 cups of sugar to make 20 cookies To make 6 cookies, you will need cups of sugar. Enter your answer as a fraction or whole number.
Monique deposited her money in the bank to collect interest. The first month, she had $275 in her account. After the sixth month, she had $303.62 in her account
Find the general solution of [tex]2cos(2x + \frac{\pi }{4} ) = \sqrt{2}[/tex] =
solve the equation for x.4+2(x-4)=-7(x+7)​
In world war 1 , Multiple reflection was used in submarines. How multiple reflection works and helps in such situation?
The side of rhombus is 14 in. The obtuse angle is 160º. Find the longer diagonal of the rhombus.
02 (s) + Pb(s) — PbO2(s) find the reduced and oxidized reactants