4. If f(x) = ax²+bx+c, and f (x + 1) = f(x) + x + 1, what is the value of (a + b)? (A) (B) 1 (C) 1213N3 T (D) 3 (E) 4 Solve yourself: Substitute x-0 into first equation: f(0) = c Substitute x-1 into first equation: f(1) = a(1)^2 + b(1) + c f(1) =a+b+c { Substitute x-0 into second equation: f(0 + 1) =

Q: Find two functions f(x) and g(x) so that h(x) = (f og)(x) a) h(x) = (2x +3)².

A:

Q: F(X) = -X4  + X2 +3 How to solve for x?

A: Given,

Q: Given that f(x) = 3x + 7  g(x) = 4x + 5/3  and  h(x) = 3x – 5 /2x    Find:- i) f(-3) =          ii)…

A: Given, f(x) = 3x + 7  (i) Putting x = -3 we get  f(-3)= 3(-3)+7 = -9+7 =-2 (ii) f(x) = 3x + 7 ,g(x)…

Q: Given that f(x) = 8x + 4 and g(x) = 1 − µ², find: a) f(g(0))= b) g(f(0))=

A:

Q: If f(x) =Vx- 4x + 19, then what is f(1)?

A: We first find f'(x) using the power rule and chain rule.

Q: If f(x)=3x2-x+C and f(3)=18, what is the value of C?

A: Let's find.

Q: If F(x) = x +5x +C and F(1)= 11, what is the value of C? %3D

A: F(x)=x2+5x+C, F(1)=11

Q: = Solvex (t) = Ax(t) where A 3 -2 [1] [8] = 4 and (0)

A:

Q: f (x) = x2 - 1 / x + 4  Find the following:   5) f (2x)  6) f ( a + k)

A: Given:-   fx =x2-1x+4   now, a. f(2x) f2x=2x2-12x+4 = 4x2-12x+4 = 4x2-12x+2 = 4x22x+2-12x+2 =…

Q: If a(b + x) + y = z, solve for b (= - y) atz ziy-a a (z-v) a (y + 2) a (v (2) 20 B +x

A: To find the value of b.

Q: If F(x) = x2 - 3x + C and F(-1) = 4, what is the value of C?

A: Given: Fx=x2-3x+C  and F-1=4

Q: x(0) = -2 () 30 If y(0) I and y(1)-2, what is x(0)?

A: Let

Q: Given that f(x) = 3x+2 and g(x) =x2 - 2x - 4, find (g o f)(5). (g o f)(5) = (Simplify your answer.)

A: Consider the given functions as below; Known fact; Calculat the value of f at the point x=5 as…

Q: f (0), where f (x) = x2 + 2x + 2

A: Consider the given function: fx=x2+2x+2

Q: If h(x) = 1 (2x-9)² " and if h(x) = f(g(x)), which of these statements could be correct?

A:

Q: 1) Given f(x) = -6x +5 and g(x) = 2x + 3 b) Find f (f ¹) (2)

A: We need to find f(f-1)(2).

Q: (x+1)(x+2)

A: We have xx+1x+2 Now, we do the partial fraction decomposition. Let A,B be two variables.  Then:…

Q: h(x)= 3x+5 j(x)=-2, I-3 What is h(x)/j(x)? What is the domain?

A:

Q: If f(x) = ax² - b, f(1) = -10 and f¹(-4)= 2, what is the value of a + b? a+b=

A:

Q: if f(x)=2x2-Ax+3sqr(x) and f(9)=126 then what value of A do we get

A: