| If ƒ (x) = 10x ² − 37x + 11, then there are two real numbers a

Q: Which x satisfies both |x − 3| < 2 and |x − 5| < 1?

A: The inequalities are:  |x − 3| < 2 and |x − 5| < 1 Then we get,…

Q: Let f(x) = x³-212-9. If f(3) = 0, then (x-3) is a factor of f(x). O True O False

A: factor theorem states that if f(x) be a polynomial of degree n , and (x-a) is a factor of f(x) then…

Q: Find the four real zeros of the function ƒ(x) = 2x4 - 4x2 + 1.

A: Given:

Q: Let P(x) = ax² + bx³ + x +1 where a and b are real numbers. Find values of a and b such that P(2i) =…

A:

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

A: Using the property of mod function,

Q: Let f(æ) = a² + 3 and g(x) = 2x – 1. Which of the following is fo g(æ)? fo g(x)= 4x² +3 %3D fo g(x)=…

A:

Q: If [2x 3] 1 21 -3 0 8 = 0, then the value of x is

A:

Q: If f(x)= 10x -37x+11, then there are two real numbers a<b such that fla)=f(b)=4, and there is a real…

A: Please see the answer below

Q: Let f(x)= = -2 x²+3x O Only 0 O Only 3 O Only -3 Only 0 and 3 What values of x have to be excluded…

A: given  f(x)=-2x2+3xfor domain  x2+3x≠0

Q: Suppose f(x) = 2x² + 6x + 2. Compute the following: A.) f( – 3) + f(1) = B.) f( – 3) – f(1) =

A:

Q: Let f(æ) = 4x + 4 and g(x) = 5æ? + 2æ. After simplifying, (f + g)(x) =

A:

Q: If f(x)= x² and g(x)= 2x + 1, which expression is equivalent to (f o g)(x)? O 4x2 + 4x + 1 O 4x2 +1…

A:

Q: Find   g−1 ∘ f −1

A:

Q: Let F(a) be Z2. Show that a2 and a2+a are zeros of x3+x+1.

A:

Q: 3. Find all the zeros for: f(x) = x3 - 2x2 - 5x + 6

A: Given that, y = x3 - 2x2 -5x + 6 and we have to calculate the zeros of the function. We know that,…

Q: If fx) = |3x| – 10 and g(x) = 2x³, what is (g ° f(-2)? %3D

A:

Q: Let f(x) ƒ¯¹(-4)= = x+1 x+8

A:

Q: For what x is x(2x+3) positive?

A: For f(x)=x(ax+b). (1) f(x) is positive: ⇒x(ax+b)&gt;0⇒x&gt;0 and ax+b&gt;0 OR x&lt;0 and…

Q: If f(x) = 2x² - 8 and g(x) = 2x + 1, evaluate f(g(x)) when x = -3 -30 O-19 42 O46 60

A: Given: f(x)=2x2-8 and g(x)=2x+1