deongha1234 deongha1234
  • 07-10-2020
  • Mathematics
contestada

f (x) = cx + 3

In the function above, c is a constant. If f (1) = 1, what is the value of f (-4) ?

Respuesta :

VectorFundament120
VectorFundament120 VectorFundament120
  • 07-10-2020

If f(1) = 1 that means c is -2 because when you substitute x = 1 and when c = -2, you'll get f(1) = -2(1)+3 = -2+3 = 1

So the constant c is -2 and that means the value of f(-4) is

f(-4)=-2(-4)+3=8+3=11

Thus, the value of f(-4) is 11.

About why does "c" have to be -2, here's the proof.

 Given y = f(x), therefore.

y=cx+3

Since when x = 1 and y = 1, then Substitute x = 1 and y = 1, thus 1 = c+3

1 - 3 = c and therefore, -2 = c #

So this is the proof that c = -2

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