The unique solution to the initial value problem y' + y = g(x), y(0) = Yo, is y(t) = 3e-3 + 2x + 3. Determine the constant yo and the function g(x). Yo help (numbers) g(æ) = * help (formulas)

Q: -3z + 4, a < -2 22 - 2, 2-2 18. If f(x) = find f (-2). || A. 10 В. 2 C. -2 D. -6

A: Given function is fx=-3x+4, x&lt;-2x2-2    ,x≥-2.

Q: The domain of a quadratic function is (-o, x). O True O False

A:

Q: standard form of h(x) = -(x-4)(x+2)

A: To find the standard form of h(x) =-(x-4)(x+2)  Standard from of a quadratic equation is ax2+bx+c

Q: Consider the following. f(x) = 8x – 3, g(x) = 1 - x Find (f - g)(x). The difference of two…

A:

Q: If fix) = 4x and g(x) = x + 9, find (f o g) 'x) and g" '(1 'x). (fo g)" 'x) =D

A:

Q: What is the end behavior for this equation? f (x) = - (x+3)² +1 As x-∞, f (x) →→→→→∞, and as →→→∞, f…

A:

Q: J. (g o h)(x) 8. (h og)(x)

A: As per the bartleby guidelines for more than three question only three has to be solved .Please…

Q: f(x) = 9x -x? X6=

A: Draw the graph of the function f(x)=9x-x2.   The graph signifies that the curve has  horizontal…

Q: The finction f(x) = x3 + ax2 + b has a critcal point at (-2, 6). Find the constants a and b.   a.…

A: We have to find the value of a ,b for a given function.

Q: Solve for f(x)+g(x) f(x)-g(x)   f(x)= 3x + 2, g(x)= 2x + 5   SHOW STEPS****

A: Given that the function: fx=3x+2  ,  gx=2x+5

Q: Find the x-intercepts of the polynomial function. (Hint: Find the Zeros) f(x) = (x + 1)(2x - 6)(x -…

A: To find the x-intercepts of the polynomial function. f(x) = (x + 1)(2x - 6)(x - 5)f(x) = x3 - 4x2…

Q: f(x)=x^(2)+5, g(x)=3x+11 find (g o f)(x)

A:

Q: What is the end behavior for this equation? f (x) = (x − 6) (x + 1) O As a →→∞, f(x) →→∞, and as a…

A: Given: Now,             limx→∞ f(x)=limx→∞ x-6x+1=limx→∞ x-6·limx→∞ x+1=∞·∞ =∞

Q: If f(x)=x^2−2 and h(x)=4x+5, then f(h(3))=       7     15     119     287     33

A:

Q: Vipul

A: The objective of the question is to find the probability density function of the random variable Z,…

Q: 1.Find g(f(4)) 2. Find f(h(5)) 3. Find h(f(-2)) 4. Find f(g(x))

A:

Q: X 11. Find f (9(x)) and 9(f (x)) for the pair of functions. f (x) = a² + 1 g(x) = x – 10 f (g(x))…

A: The given function is: fx=x2+1gx=x-10 To find the value of fgx and gfx

Q: Find the derivate of the functions a) F(x) = (7x²-9) (2x + 7) f'(x) = b) f(x) = 8x² - 2 8x +3 f'(x)…

A: To find derivatives

Q: -1 (11) Find fo g* (2) =? (A) f•g* (2) = f( 2) = undefined; g(2) = 0 (B) f•g° (2) = f('lg2)=…

A: