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: For the function f(x) = 7x² - 3x + 2, f(x+h)-f(x) h evaluate

A: f(x)=7x2−3x+2

Q: Let f(x) 2x + 4x + 4 and let f(3 + h) – f(3) q(h) Then q(0.02)

A:

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

A: Please refer to the image below

Q: 6.) Evaluate f(-3) for f(x) = x³ + 3x + 17

A:

Q: A function f is defined by Ax + 5 f(x) 6x - 2 If f(1) = 4, find A.

A: Given: fx=Ax+56x-2  ……1   and, f1=4  ……2   To find: A

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

A:

Q: If f(4)=2 then f-1 (2)=?

A: Given, f(4)=2-------(1) We have  f(a) = b => a=f-1(b) -------(2)

Q: Let f(x) = 2x + 3x? + 5x + 5. Find f(3 + V2).

A:

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

A:

Q: Let x + 5 f(x) x +7 f(- 7) =

A:

Q: Suppose f(x): = f-¹(x) 4 10x +9

A:

Q: Explain how f (x) = (x − 1)2 + 3 is obtained from f (x) = x2.

A: Given f(x)=x^2, to obtain f(x)=(x-1)^2 from f(x)=x^2 we have to shift the graph to 1 unit right.

Q: Find f(12) - f(-12).

A: Given:f12-f-12fx=x+3        if  x≥58             if   x<5

Q: Find f5(x) if f(x)= 3√3x+2

A:

Q: The figure is the graph of the derivative, f', of a function f on [-3, 3]. Determine the intervals…

A: All answer is given.

Q: f(x) = 2 - 1x + 1 4 (x - 4)2, x + 16, x ≤ 0 0 <x

A:

Q: Let f(x) = 9 + x + x² and h = 0. (a) Does f(9 - 1) = f(9) + f(1)? Yes O No (b) Find f(x + h). (c)…

A: The given function is; f(x)=9+x+x2

Q: Let f(x) = 9x + 7x2. Compute the difference quotient f(x+h)-f(x) h and simplify it so that it has…

A: The objective of this question is to compute the difference quotient of the function f(x) = 9x +…

Q: Find f1(3) when f(x) = ∛(x2 - 1)

A:

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)=−4x+6. find f(-x)

A:

Q: Let f(x) 14x + 10 f(z) =

A: Given function :

Q: If f(x) = 2x² - 8 and g(x) = 2x + 1, evaluate f(g(x)) when x = -3 -30 O-19 42 O46 60

A: Given: f(x)=2x2-8 and g(x)=2x+1

Q: f(x) =-2x - 4 if xs2 |4x -9 if x> 2 3.

A:

Q: Let f(x)= = x + 5 x+8

A: Please refer to the image below

Q: Which represents the correct difference quotient for the function f(x)=4x²-3x+2? A B C D f(x+h)-f(x)…

A: Here we have given a function :

Q: Let f(-4)=9 Find  a) f-1(9) b)[ f-1(9)]/2 +7

A: