1. Find the sum and difference and product f(x) = (x³ - 3x²-1) g(x) = (2x + 4) a) f(x) + g(x) = b) f(x) - g(x) c) f(x) *g(x): =

Q: Let f(x)=9x+8‾‾‾‾‾‾√f(x)=9x+8 and g(x)=x+9g(x)=x+9 be functions from ℝR to ℝR. Find the following.…

A: We will find out the required values.

Q: Compute and completely simplify the difference quotient for  f(x) = √x+6   f(x + h) − f(x) h =

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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: How to Find the zeros

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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: Show that: fdx = f(x), where f(x) = x³ x³ + 3x +3

A: Introduction Differentiate is utilized to investigate the little variation of one variable in…

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

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Q: If f(x) = 2×, show that f(x + h) – f(x) = 2×( 2" -1). h Simplify your answers completely at each…

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Q: Suppose f(x): = f-¹(x) 4 10x +9

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Q: Determine f(g(2))where f(x)=4x+6 and g(x)=5x

A: f(x) = 4x+6, g(x) =5x Therefore,  f(g(x)) = f(5x)             = 4(5x)+6            = 20x+6 f(g(x)) =…

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

A: Given: To find:

Q: Show that the function f (x) = -x3 + 2x2 - 6x + 3 is always decreasing.

A:

Q: . For f(x) = 5x - 8 and g(x) = x2 - 3x + 4, find (g - f)(x)

A: given,         f(x)= 5x - 8gx=x2-3x+4

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

A: