If f(x)=4^x+12x and g(x)=5x-1,then value of (f+g)(x) is [tex]4^{x} + 17x - 1[/tex].
A composite function is generally a function that is written inside another function. Composition of a function is done by substituting one function into another function. For example, (f+g)(x) is the composite function of f(x) and g(x).
We know that , (f+g)(x) = f(x) + g(x) .
Given that f(x) = [tex]4^{x} + 12x[/tex] and g(x) = [tex]5x - 1[/tex]
⇒ (f + g)(x) = f(x) + g(x)
⇒ (f + g)(x) = [tex]4^{x} + 12x[/tex] + [tex]5x - 1[/tex]
∴ (f + g)(x) = [tex]4^{x} + 17x - 1[/tex]
Therefore the value of (f+g)(x) is [tex]4^{x} + 17x - 1[/tex] .
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