Let f, g:R R defined by if x <1 f(x) = 2x-1 ifxz1 if x> 1 (x2 and g(x) = 3x + 2. %3D Find f-1 and g-1.

Q: Find the general solution to y(4) — 9y" + 18y" = 0. In your answer, use c₁, c₂, C3 and c4 to denote…

A: We have to find the general solution of the ODE.

Q: 4 -2 f(x) = -5x* + 2 + 3x %3D differentiate each function with respect to x

A: Differentiate with respect to x.

Q: # 8 If f(x) = 2x2 + 3 and g(x) = - 3x - 6, find f(x) g(x). %3D es 4) A) 6x3 - 12x2 - 9x + 18 B) 6x3…

A: solution:-.

Q: Enter an eqvation_for the line of symmetry for the function flx)=4x²+[6X-9 %3D

A: The function is given by f(x) = 4x2+16x-9 To evaluate : Equation of the line of symmetry

Q: Let f(x) = V2 - x+ 8. Determine f-(x) and the the domain of f(z). f(x) = %3D Domain of f-(æ) =

A:

Q: True or False.   If f(x) = a * x ^ 3 + b * x ^ 2 + cx + d where a 0, then f has at least one…

A: Given that: f(x)=ax3+bx2+cx+d, a≠0

Q: Use synthetic substitution to find f(2) and f(- 1) for each function. f(x) = x ^ 3 - 5x ^ 2 - x + 6

A:

Q: Suppose that f () = 8200 and f (8) = 2600. (a) Write the linear function f, and (b) find the value…

A: Given  f12=8200f8=2600

Q: Given f(x) = 3x²– 12 and g(x) = 2x + 1. Find g(f(x)).

A:

Q: Given the following function notations, find h(x) = f(x) + 2g(x). * f(x) = 7x – 5x + 2 and g(x) =…

A: Given the following functions                                      f(x)=7x3-5x+2  and  g(x)=3x2-1…

Q: Find the range of the function f(x) = 1/3x-5, if the domain is { -3, 0, 6}

A: f(x)=13x-5Domain is -3,0,6substitute x=-3f(-3)=13(-3)-5=1-9-5=-114

Q: How would you transform the function given by f(x) = |x| to fit the data shown? YA f(x) = |x| 4 2 -6…

A: Given:

Q: Ex: f(x) = 3x+8 and g(x)=2x-1 Find (f/g)(x). 3x+8 2x-1' 13 24 2x-1 3x+8' 2x-1 3x+8' 80 x # 1/1/2 x =…

A:

Q: of of and ду For the function f(x,y) = In (7x + 9y), find

A: The given function,     f(x,y)=ln7x+9y

Q: If they exist, find the x-intercept(s) of the function f(x)= 3 0(0,00 O O (1,0) O(-11,0), (110)…

A: The function is given by fx = x2-115-x To determine: the x-intercepts.

Q: We have a function g(x) = x3 - 2x + 1. Explain why the function can intersect the line y = x in each…

A:

Q: Let f(x) = −3x² + 1 1 X3 + −xª. Find all local and absolute maxima and minima of f.

A:

Q: Determine fx (x); f(x) = x² · e*/2 %3D

A: d(uv) = udv + vdu

Q: For the function f(x) = 3* find fx-2)

A: Given that: f(x)=3x.   NOTE: As per our answering guidelines, we can only answer 1 question or 3…

Q: Let two functions be f (x) = Ax + 3, g (x) = Bæ² Ba? %3D What are the possible values of A and B if…

A: We can find the possible values of A and B as below.

Q: What input is NOT allowed for f(x)= 1/5x-25

A: