Question 888226
For the given functions f and g , find the indicated composition.
f(x) = -5x + 6, g(x) = 2x + 5
(gf)(x)
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Assuming you mean (g o f)(x)


(g o f)(x) is the same as g(f(x))


The idea is to plug f(x) into x of g(x). Then on the right side, plug in f(x) = -5x+6. Finally you simplify.


Here's the work showing what I mean.


<pre>
	g(x) = 2x + 5
	
	
	g(x) = 2(x) + 5
	
	
	g(f(x)) = 2(f(x)) + 5
	
	
	g(f(x)) = 2(-5x+6) + 5
	
	
	g(f(x)) = -10x+12+5
	
	
	g(f(x)) = -10x+17
	
	
	<font color="red">(g o f)(x) = -10x+17</font>
</pre>


The final answer is <font color="red">(g o f)(x) = -10x+17</font>