Question

If f(x) = 4x + 1 then f (-6)- f (-5) is  -5, -4, , -3, 4​

Answer 1

Given:

$f(x) = 4x + 1$

To find:

$f( - 6) - f( - 5)$

Step-by-step explanation:

For $f(-6)$ and $f(-5)$, just replace "$x$" with the values "$-6$" and "$-5$" respectively.

And so we have,

$\longrightarrow{\green{}}$ $[4( - 6) + 1] - [4( - 5) + 1]$

$\longrightarrow{\green{}}$ $( - 24 + 1) - ( - 20 + 1)$

$\longrightarrow{\green{}}$ $( - 23) - ( - 19)$

Remove the parenthesis.

$\longrightarrow{\green{}}$ $- 23 + 19$

[ Since ( - x - ) = + ]

$\longrightarrow{\green{}}$ $- 4$

Therefore, the required answer is $\boxed{ -4 }$.