If f(x) = 4x + k and f (2) = f (1), then calculate the value
of K.​

-7

Step-by-step explanation:

given f(x)=4x+k

therfore, f(2)=4*2+k

we know that f(2) =1

so, 4*2+k=1

8+k=1

k=1-8

k=-7

12 Brainlest please?

Step-by-step explanation:

The key fact about this function f is that f(x+2) = 4(x+2) = 4^x multiplied by 4^2 and f(x+1) similarly = 4^x multiplied by 4.

So let’s put 4^x = some number Z. Then f(x+2) - f(X+1) = Z x 4^2 - Z x 4 or Z x 16 - Z x 4 = Z x 12, so k = 12

This is not in any way to criticise the answer already given which is perfectly correct. However I thought this might be easier to understand for the non-mathematician.

f(x+2) = 4^(x+2) = 4^2 * 4^x = 16 f(x)

f(x+1) = 4^(x+1) = 4^1 * 4^x = 4 f(x)

f(x+2) - f(x+1) = 16 f(x) - 4 f(x) = 12 f(x)

k = 12