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For the given functions f and g, find the indicated composition

For the given functions f and g, find the indicated composition-example-1
User Willk
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1 Answer

4 votes

(g\circ f)(x)\text{ means put f(x) in g(x)}

That means replace x in g by f

f(x) = -4x + 7

g(x) = 3x + 9

Substitute x in g(x) by f(x)


(g\circ f)(x)=3(-4x+7)+9

Now let us simplify it


(g\circ f)(x)=3(-4x)+3(7)+9=-12x+21+9

Let us add the like terms 21 and 9


(g\circ f)(x)=-12x+(21+9)=-12x+30

User Keyur Mistry
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