9) Evaluate the piecewise function for x = -1 and x = 4. 2x + 1 if x < 2 h(x) = x² - 4 if x > 2 h(-1) = h(4) =

Q: 9. for f(x)=3x-5 and g(x)=3x^2-3, find the following functions  a.(f o g)(x)  b. (g o f)(x) c.(f o…

A: Consider the function, To calculate the (f o g) (x),   Substitute the value of g(x) in function…

Q: Find a formula for the exponentail function passing through the points (-2,40) and (1,5)

A: The general equation for an exponential equation is  y = a(b)x

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: solve -  f(x+k) = 1 – 1/(X + 2)²

A: Given that fx+k=1-1x+22Solve it

Q: Find where the function f(x) = 3x4 − 4x3 − 12x2 + 5 is increasing and where it is decreasing.…

A: increasing and decreasing intervals of fucntion  fx=3x4 − 4x3 − 12x2 + 5

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

A:

Q: Find f.g, g. f, and g. g. f(x) = x + 4, g(x) = x - 9 (a) f.g (b) g.f

A: Explanation and solutions is given below....

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

A:

Q: On which of the following intervals is f(x) = continuous? Vx-2

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: Is the function g(x) = x2 one-to-one?

A: Take x=2. g(2)=22=4. Take x=-2. g(-2)=(-2)2=4

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

A:

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)?…

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

A:

Q: Find both of the two x intercepts of the function F(x)= (x-3)(x+7)/x(x-5) Smaller intercept = Larger…

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Q: Evaluate the following: 1. f(-2)= 2. f(-1)= 3. f(5)= f(x) = 2 x² + 2x x + 3 if x -1.

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Q: Suppose we have two functions f and g defined by f(x) = 2x + 3 and g(x) = x^2 - 3x + 2. Find…

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:…