Question

Composition of Functions

Answer 1

Let \[f(x) = x + 5\]

Evaluate
\[\frac{ f(x + h) - f(x) }{ h }\]

Answer 2

@Vocaloid @563blackghost

Answer 3

so to calculate f(x+h) you just have to substitute "x+h" for x in the original function

Answer 4

f(x+h) = (x+h) + 5

and then use this to evaluate the entire expression

the h's should cancel out in the end

Answer 5

\[\frac{ x + h + 5 - (x + 5) }{ h } = \frac{ h }{ h } = 1\]

Answer 6

Thank you