Question

Suppose that the functions $f$ and $g$ are defined for all real numbers $x$ as follows. $f(x) = 3x + 5$ $g(x) = 6x$ Write the expressions for $(f + g)(x)$ and $(f - g)(x)$ and evaluate $(f - g)(1)$. $(f + g)(x) = (f \circ g)(x) = (f - g)(1) = $

          Suppose that the functions $f$ and $g$ are defined for all real numbers $x$ as follows.
$f(x) = 3x + 5$
$g(x) = 6x$
Write the expressions for $(f + g)(x)$ and $(f - g)(x)$ and evaluate $(f - g)(1)$.
$(f + g)(x) = 
(f \circ g)(x) = 
(f - g)(1) = $
        
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Suppose that the functions f and g are defined for all real numbers x as follows.
f(x) = 3x + 5
g(x) = 6x
Write the expressions for (f + g)(x) and (f - g)(x) and evaluate (f - g)(1).
(f + g)(x) = 
(f ∘ g)(x) = 
(f - g)(1) =

Added by Melissa V.

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Suppose that the functions f and g are defined for all real numbers x as follows. f(x)=3x+5 g(x)=6x Write the expressions for (f+g)(x) and (f*g)(x) and evaluate (f-g)(1). (f+g)(x)= (f*g)(x)= (f-g)(1)= Suppose that the functions f and g are defined for all real numbers x as follows f(x=3x+5 gx=6x Write the expressions for (f+g)(x) and (f-g)(x) and evaluate (f-g)(1) =+ X 5 f1
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Transcript

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00:01 Okay, so when you're asked to evaluate or simplify f minus g of x, what they're pretty much saying is do f of x and subtract off g of x.
00:11 Well, now i'm going to substitute in here that f of x is x minus 5.
00:17 So that thing is x minus 5.
00:21 And g of x is 4x minus 2.
00:27 And what you need to remember as you're subtracting is to distribute.
00:32 That minus into the problem.
00:35 So that's why this first answer is x minus 4x is negative 3x.
00:40 This is really negative 5 plus 2 to give you negative 3.
00:45 So that's that first answer.
00:48 The next one where they're asking you to do f times g, just like in the first one, it's really asking you to do f of x times g of x and so what's important about this one is a so f of x is still x minus five and g of x is still 4x minus two but you need to distribute each piece so you're looking at 4x squared minus 2x and then distribute the negative 5 in there so it's minus 20x and negative 5 times negative 2 is a positive 10 and so this final answer when you combine like terms is negative 20 2x plus 10...
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