If f(x) = x + 1 and g(x) = x − 1, (a) f(g(x)) f(x) (b) g(f(x)) = (x+1) (c) Thus g(x) is called an y = syntax error. Check your variables - you might be using an incorrect one. X x function of f(x)

Q: Let f(x) = x² - 6x and g(x) = 4 - x². ▪ (f+g)(4) = (f-g) (4) = (fg)(4) = (4) (4)

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Q: Let f(x) = 6x + 12 and g(x) = x² – 4. - Find the domain of the following fur (a) (g - f)(x) domain…

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Q: show that 1f ∘ g2 (x) = 1g ∘ f2 (x) = x.

A: Given: fx=1x, gx=1x. To find: f o gx=g o fx=x Solution: Finding f o gx. f o gx=fgx=f1x=11x=x

Q: I + 9 If f(x) = 7x – 9 and g(x) 7 (a) f(g(x)) = (b) g(f(x)) = (c) Thus g(x) is called an function of…

A: Given: f(x)=7x-9 and gx=x+97. a fgx=fx+97                 =7x+97-9          ( Put the value x+97  in…

Q: let f(x)= x2-3x-54/x2-1 and g(x)= x2+5x-6/x2+2x+1 find and simplify (f/g)(x)= ?

A: We can solve this as follows:

Q: Given the following two functions, is f(x) - g(x) = g(x)-f(x) true for all functions? f(x)=x²-9,…

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Q: If f(a) x* + 5, g(a) =-6 and h(z) a, then

A: Given: To find:

Q: Find the following. f(x) = x², g(x) = 3x - 7 X = 2 (a) (f+g)(x) = x² + 3x - 7 2 (b) (f-…

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Q: Evaluate (fo g)(x) or f[g(x)] f(r) = 4x² + x + - 3 g(x) = 5x 5 (f o g)(x) = f[g(x) = %3D

A: Evaluate (f•g)(x) or f[g(x)] We apply going to apply here method of composite functions

Q: What is the value if a so that f(x) has a slant asymptote of y = x + 3. x²+ax+5 What is the limit of…

A: Given: fx=x2+ax+5x+1 We know that slant asymptote is possible when the degree of the polynomial in…

Q: Let f(x)=x2−2xf(x)=x2−2x and g(x)=3−x2g(x)=3−x2.   (f+g)(7)=(f+g)(7)=  help (numbers)…

A: The functions are f(x)=x2-2x   &    g(x)=3-x2

Q: If f(x) = x + 7 and g(æ) = x - 7, %3D %3D (a) f(g(x)) %3D (b) g(f(x)) = (c) Thus g(x) is called an…

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