Given the function r(x) r( − 3) Calculate the following values: r(-7)= r(9) = r(6) = = = r( – 5) = = = r( − 1) = = 3x - 1 x < -5 5x²7x + 10 -5 ≤ x ≤ - 1 x + 9 x > -1 10000

Q: Find the value of “a” if (x1/3)(x3/4) = xa

A: Use Formula  (xm)(xn) = x(m+n)  When the two terms are in Multiplication and their bases are same…

Q: For fx) = x+6, find each of the following a. (-1) e. (for xs97) (5) a. f-1)-5 b.r (5)-0

A: Given query is to find the indicated valen do the function.

Q: For what value(s) of k will the function g(x) = x? - kx + 9 have only one zero?

A:

Q: Let f(x) = x² – 2r and g(x) = x + 3. Find each of the following: a. (f + g)(5) b. (f - g)(x) and (f…

A: The given functions are, fx=x2-2xgx=x+3 a. Fiding the function f+g5…

Q: Determine the end behavior of the following function as x → +∞: 4x4 + 8x – 1 s(x) = -9x4 – 7x2 7x…

A: Topic- Function

Q: Find the domain of the following: f(x)=3/x-7

A: Function=3/(x-7)The function is defined at all points other than x=7.

Q: For the function(x)=√x, which is equal to -2x X+9 x² +9 2x 9-x² 훑어(???

A:

Q: Evaluate f(-3): -x2 – 3 for x < -2 3x +7 for-2s x,< 3 for x 2 3 f(x) = %3D

A: We need to find f-3 We have fx=-x2-3            for x&lt;-23x+7             for -2≤x≤3x…

Q: Evaluate the following: 1. f(-8)= 2. f(-1)= 3. f(3) = f(x) = x² + 2x x + 8 if x -1.

A: Given: f(x)=x2+2x  if x≤-1x+8      if x&gt;-1

Q: If K(x) =|x- 3|+x, find K(-1).

A: Using the property of mod function,

Q: Find the smallest value of the function f(x) = x³-3x² - 9x + 5 on the domain −4 ≤ x ≤ 4.

A:

Q: For  f={(2,4),(3,−2),(−5,−5)}f={(2,4),(3,−2),(−5,−5)} and g={(−3,1),(−2,5),(3,−2) ou were asked…

A: For two functions f and g, (f+g)(x)=f(x)+g(x)

Q: Given the function [2x + 7 f(x) = { x - 5 Calculate the following values: f(-5) = f(-7)= f(-1) =

A:

Q: For which values of r € R, will the matrix M given by be invertible? 11111 1 z I 12 1 M = 1 1 r 1 1…

A: To determine the values of x∈R, the  matrix M will be invertible. M=111111x12111x11121x111112

Q: 5 and g(X) = 3X the following functions. a. (fo g)(x); b. (g o f)(x); c. (fo g)(- 1); d. (go f)(- 1)

A: Given: fx=x-5 gx=3x2-1 a) f∘gx is given as, f∘gx=fgx               =f3x2-1               =3x2-1-5…