For the functions f(x) = 7x + 4, h(x) 10 - 3 and g(x) %3D Зх — 2 (a) Evaluate (i) g(4) (ii) h{g(4)} (iii) f-1(11) (b) Write expressions in x for (i) h-(x) (ii) g{g(x)}

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: Find (go f)(x) if f(x) = 2x2 – 3x and g(x) = x + 2 O 2x2 + 5x + 2 O 2x2 + 5x + 8 O 2x? – 3x +2 O…

A: Given: fx=2x2-3x and gx=x+2 To find: gofx

Q: Given f (x) = 7-5x a] f-¹ (4) b] f¯¹ (-4) + f¯¹ (-3) + f¯¹ (-2) c] g (x) = f-¹ (2x) 1 determine

A: The given function .The objective is to find the following values,(a) (b) (c) .

Q: Given the functions f (x) = 3x + 5 = (x) 6 g (x) = 4 – x2 and h (x) = = 1 *, find each of the -…

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Q: -1), (c) f(0), (d) f(3), and (e) f(5). 3x f(x) = if xs -1 x-2 if x> - 1 (a) (-4) =D

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Q: f(x) = 2 (x+4)²-3 for 4x - 3 for Find f(-5) x 1

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

A: Given: To find:

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: If f(14)=27, find f-1(27)

A: If f(x) = y is any function and f is one-one then, => f-1(y)=x

Q: Let f (x) = x² and g (x) = 2x - 4. Find the following: (a) f(3) + g (3) = (b) f(3) g (3) = (c) (d)…

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Q: 3. Compute and completely sin (a) f(x) = 7-x+2x²

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Q: Use f(x) = 3x – 4 and g(x) = 2 – x² to evaluate the expression. %3D (a) f(f(2)) (b) g(g(3))

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Q: For (x)= 2x-3 and 8(x)= 2x a) (f+g)(x) (b)(S-8)(x) (c)(S g)(2) (d) find (3)

A: This is the question based on composite functions.