Question

Let f(x) = 4x-5 and g(x) = 3x, find (f+g)(x).

Answer 1

$(f + g)(x) = 4x - 5 + 3x = 7x - 5$

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Answer 2

Given:

f ( x ) = 4x - 5

g ( x ) = 3x

To find:

f ( f + g ) ( x )

Solution:

f ( f + g ) ( x ) = f ( x )  + g ( x )

Substituting,

We get,

4x - 5 + 3x

Adding the x terms,

Hence, f ( f + g ) ( x ) = 7x - 5