Let g(x) = if x < 1 if x = 1 if 1 2

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: Show that the function f (x) = (2x2 + 3)3/2 is decreasing for x 6 0 and increasing for x 7 0.

A: Given: f(x)=(2x2+3)32

Q: Find g(1) if g(x)=x^2+1

A:

Q: Find all zeros for... F(x)=2x^3+3x^2-20x

A: Here is the solution

Q: If f(x)-x2 for all real numbers, what is f-1 for x>4?

A:

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

A:

Q: Let f(x) = {2x-5 if x3

A: Find your answers below

Q: If g(x)=|2-x^2|, find g(5)

A: Given,

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: Let g(x) = x^2 - 3 and h(x) = 2x + 5. Find h(g(x)).

A: topic - composite functions

Q: Suppose f(x): = f-¹(x) 4 10x +9

A:

Q: Let f(x) = x + 3 if x ≥ 5, 8 if x &lt; 5. Find f(12) - f(-12).

A:

Q: If h(x)= (-2+8x+8x^2) (7x+2x^6+7x^7) then h(x)=f(x)g(x) wher

A: Given that: h(x)=(-2+8x+8x2)(7x+2x6+7x7)

Q: let f(g(x)) = 8(9 + 3/x^4+2)^7. Find the following functions.  if f(x) = 8x^7 then what is g(x)?…

A:

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

A: Given: To find:

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: graph the following functions  f(x)=3x-1    if x\le 0        -2x+1   if x\gt 0

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

A:

Q: Let x + 1 f(x) x + 6 ƒ−¹( − 2) = - =

A:

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: Let f(x) ƒ¯¹(-4)= = x+1 x+8

A:

Q: Please help identify the end behavior of the graph for the function n(x)=-4(x-4)(4x+2)^3 (x+7)

A: The end behavior of the graph will base on the degree and leading coefficient of the function.If the…