Given the function $f(x)=-3-x$ , how do you express the value of $(f(x+h)-f(x))/h$ ?

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Answer 1 · 2018-05-06T07:37:03

$-1$

$(-3-(x+h)-(-3-x))/h$

$=(cancel(-3)cancel(-x)-hcancel(+3)cancel(+x))/h=(-h)/h=-1$

Answer 2 · 2018-05-06T07:40:16

See explanation.

If $f(x)=-3-x$ then we can write that:

$f(x+h)=-3-(x+h)=-3-x-h$

$f(x)=-3-x$

Combining the two expressions we get:

$(f(x+h)-f(x))/h=(-3-x-h-(-3-x))/h=$

$(-3-x-h+3+x)/h=(-h)/h=-1$

Given the function f(x)=-3-xf(x)=-3-x, how do you express the value of (f(x+h)-f(x))/h(f(x+h)-f(x))/h?