Let f(x) = 5 + x + x² and h = 0. (a) Does f(5 + 1) = f(5) + f(1)? O Yes Ο NO (b) Find f(x + h). (c) Does f(x + h) = f(x) + f(h)? O Yes O No (d) Does f(x + h) = f(x) + h? O Yes Ο No f(x + (e) Find f(x + h) − f(x) h h) − f(x) and simplify.

Q: Let f(x) = x² + 6x + 2

A: Function is given by f(x) = x2 +6x + 2 To evaluate : fx+h - f(x) and fx+h - f(x)h

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 =

A:

Q: If f(x) = (5x – 3)+/3, find f- (x)

A: We have to find inverse function

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: Let f(x) = x2 + 2 and g(x) = 2x - 3. Evaluate (fo g)(x). (fo g)(x) =| (Simplify your answer.)

A: (fog)(x)= f(g(x)) f(x) = x^2 + 2  g(x) = 2x - 3

Q: For the given functions, find (f o g)(x). f(x) = 5x + 1, g(x) = Vx (fo g)(x) =

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Q: Let f(x) = x - x. What is the simplest form of , h70? h

A: Please refer to the image below

Q: In this You Pick, respond to the prompt below in text or with an audio recording. A classmate…

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Q: if f(x-1)= x- 16x+3 It Find (x+)

A:

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

A:

Q: Choose all functions that are members of the same family. Oy=-x(x − 3)(x + 5) Oy=x³ + 2x² - 15x…

A: By simplifying each function, we can identify the members of same family.

Q: Suppose f(x): = f-¹(x) 4 10x +9

A:

Q: Let f(x) =-3x+4 and g(x) =-x² +4x+1. Find and simplify each of the following. (5) f(-x) (6) gt-)

A: In function  f(x) ,X replace by -x and function g(x),x replace by -1/4.

Q: 2. Let f(x) = -x + 7 and g(x)=x²-2. Evaluate each expression. (a) f(g(1)) (b) g(f(6))

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Q: When f(x) = x² + 4x + 3, evaluate f( – 1) )

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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: The proper way to evaluate f (3 + h) for the function f(x) = −4x² + 3x − 1 is Of(3+h)=(−4(3)² + 3(3)…

A: We can answer the question as below.

Q: Let f(x) = x* + 5x³ + 8x² + 3x.

A: The power derivative of y=xn  is given by, y'=dydx=ddxxn =nxn-1 Linear property of differentiation:…

Q: . Determine each value for the function f(x) = 2x²-3x + 1.

A:

Q: Let x + 2 f(x) x + 7 f-'(- 9) =

A: It is given that the function fx=x+2x+7. We know that fx=y, where y can be evaluated by putting the…