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Question 888226: For the given functions f and g , find the indicated composition.
f(x) = -5x + 6, g(x) = 2x + 5
(gf)(x)
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! 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.
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
(g o f)(x) = -10x+17
The final answer is (g o f)(x) = -10x+17
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