Find (a) (f + g)(x), (b) (f – g)(x), (c) (f g)(x), (d) (2) (x). What is the domain of (d)? 1) f(x) = 3x – 6, g(x) = 3 – x 2) f(x) = g(x) =x³ +1 %3D

Q: Given that f(x) = x-10x and g(x) = x + 11, find %3D (a) (f + g)(x)= (b) (f – 9)(x)= (c) (fg)(x)= (d)…

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Q: (a) Find f(g(2)). (b) Find g(f(2)).

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Q: Given that f(x) = 6x + 1 and g(x) = 8 - x² , calculate (a) f(g(0)) = (b) g(f(0)) = %3D %3D %3D %3D

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Q: Given f(x) = x² + 3x + 9, find the following. HINT %3D (a) f(0) (b) f(1) (c) f(-1) (d) f(-3) (e)…

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Q: Given that f(x) = x² + 2x and g(x) = x - 9, calculate (a) f(g(x))=| (b) g(f(x))= (c) g(f(– 6))=

A: In the question we have to find the values of - 1.f(g(x))    2.g(f(x))     3.g(f(-6))

Q: Find (f - g)(x). f(x)= 2x- 2, g(x) = 4-x

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Q: h(x) = x2 + x + 4

A: The function h is defined as

Q: If f(x) = x2 + 4, find and simplify fully: (a) f(t+1) = (b) f(P +1) = (c) f(2) = (d) 2f(t) %3D (c)…

A: f(x)=x2+4

Q: Let f(x) = 3x –- 6 and g(x) = x² 2x + 11. (a) Find f(g(x)). (b) Find g(f(x)).

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Q: Find (g - f)(x) f(x) = 2x + 3 g(x) = 6x-4

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Q: If (f o g)(x) = 6x - 3 and g(x) = 3x - 2 then f(x) = ?

A: Topic:- function

Q: Let f(x) = 4x – 5 and g(x) = 3x² – 4x + 4. %3D %3D (a) Find f(g(4)). (b) Find g(f(4)).

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Q: d. (f/g) (x) f(x)=3x+4; g(x)=2x-3

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Q: Let f(x) = 2x - 3 and g(x) = 3x + 7. (a) Find f(g(x)). (b) Find g(f(x)).

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Q: Find f(a), f(a + h), and the difference quotient f(a + h) − f(a) h , where h ≠ 0. f(x) = 7 −…

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Q: Let f(x) = 5x +1 and g(x) = X-1 Simplify the expressions f g g(f(4)), and g(f(x)). ...... g(f(4)) =…

A: The objective of the question is simplify the composition function at given point.

Q: Find 3[g(4)] if g(x) = -2x + 10 %3D

A: Given: gx=-2x+10 To find: 3g4

Q: If f(x) = x + 6 and g(x) = -6, %3D (a) f(g(x)) = (b) g(f(x)) = (c) Thus, g and f are functions.

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Q: f(x) = ( V x) + 3x + 5

A: We have to differentiate the given function.…

Q: g(x) = – 4 f(x)+7

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Q: f(x) = 2x − 3,   g(x) = 3x + 9;   −1 (a) Find the function  fg?

A: Given functions are: f(x)=2x-3and g(x)=3x+9

Q: Let f(x) = 5x + 2 and g(x) = -8x + 7. (If an answer is undefined, enter UNDEFINED.) (a) Find f(4) +…

A: Given f(x)=5x+2, g(x)=-8x+7 To find the following terms

Q: nd f.g, g. f, and g. g. f(x) = x², g(x) = x - 1 (a) f.g (b) g.f (c) 9.9

A: Given query is to find indicated composite function.