Define f, g: R → R as if f(x) ={3x – 2 if -13 and g(x) = 8x – 1. Find f o g and gof. %3D

Q: Is g = {(x, y) ∈ [−5, 5] × R : x^2 + y^2 = 25} a function from [−5, 5] to R.

A:

Q: Evaluate the expression a+b a+b when a=23a=23 and b=45b=45. Write in simplest form

A: # the expressions are printed twice , taking them once given a=23 and b=45 The value of a+b is as…

Q: A ball is drawn randomly from a jar that contains 5 red balls, 7 white balls, and 4 yellow balls.…

A: From the given information, there are 5 red balls, 7 red balls and 4 yellow balls. The total number…

Q: Let k(x) = 1 -x4, where j(x) = y + k(x) and y = x6 - x2. Describe the graph of j(x) based on the…

A: Given: k(x)=1-x4 where, j(x)=y+ k(x) y=x6-x2 Then j(x)=x6-x2+1-x4j(x)=x6-x4-x2+1 The zeroes of the…

Q: Let f(x) = m1x + a and g(x) = m2x + b, where m1, m2, a, and b are constants. Determine the necessary…

A: f∘g=g∘ffgx=gfxfm2x+b=gm1x+am1m2x+b+a=m2m1x+a+bm1m2x+m1b+a=m1m2x+m2a+bm1b-b=m2a-abm1-1=am2-1

Q: f:R - R S6 – x2 x 2 1 x < 1 fx 4x + 1 x=1, x= -1-

A:

Q: 2. Consider the following four functions from R into R, determine if onto or 1-1 function. Support…

A: To find out which of the following function is one-one,  onto .

Q: If r is a zero of even multiplicity, how come the graph of f doesn’t just cross the x-axis at r?

A:

Q: The domain of the function За + 5у is 2? + у? — 4 f(x, y) - >

A:

Q: Let f(x) = 1+ V7x +1. Determine the largest possible domain of f(x) Select one: • [-1/7, +o0)

A: Given function is  fx=1+7x+1

Q: Find functions f and g so that fo g=H. H(x) =x +4 Choose the correct pair of functions. OA. OB. f(x)…

A: Solution

Q: Analyze the continuity of the following function f(x) = 4x + 10      0 ≤ x ≤ 15 at the point x=8

A: The answer is given below:

Q: (x2 + 3x f(x) = 3 – 6x if x -2 Check the continuity of the function f(x) at x = -2

A:

Q: the function f(x) = k(x - s)(x - t)(x - u)^2 has: * O 3 zeros O 4 zeros O no turning points O 4…

A: Zeros of a function are those points where function has value zero. Hence f(x)=0 implies…

Q: Show that the function x- 16 - f (x) = x + 4 4 - 10 x = 4 has a removable discontinuity at x = 4.

A: A real valued univariate function f=f(x) is said to have removable discontinuity at c in its domain…

Q: Let (-1,(-1) = 2), (0, ƒ(0) = 5) and (1, f(1) = 6). Which one gives quadratic spline functions?…

A: Given, -1,f(-1)=2,(0,f(0)=5) and 1,f(1)=6

Q: let f(x) = 2(x + 3)x² + x – 2 Find the absolute maximum value of "f"over [-2,1]. O a. -10 O b. -29…

A: Answer

Q: Q7. Check if the following functions are Orthogonal or not? fi(x) = x* , f2(x) = x² + 1 (-1, 1] %3D…

A: Two functions, f1 and f2 are said to be orthogonal if &lt;f1,f2&gt;=0 over the common domain of the…

Q: The absolute maximum of the function f(x) = 3x2 – 15x + 10 over [1, 7). 252 55 52 164 242

A:

Q: 173 5. Write the domain of each of the functions in interval notation 2x a. f(x)=- b. g(x)= V1- 3x…

A:

Q: Investigate the continuity of the function at x=3. S-2x +4 if x23 f(x)x-1 fx<3 At x3

A:

Q: Select the following functions that are bijective. ƒ₂: R → R, ƒ₂(x) = 14 f₂: R → R, f₂(x) = x f₁: R…

A: