Suppose that f(x) is a function such that f(5) = 0 and f(x) is positive for all x 5. What is the domain of the function gr = ƒ(2) ? {x € Rx #5} O{x = R} O{re Rx #0} O{re Rx #0 and x # 5}

Q: As r -00, f(x) 00 and as r oo, f (x) -oo. Which of the following functions could be f(x)? Oy= 2a +…

A: Here use the limits to find the required functions.

Q: For all functions f and g, f o g(x) = go f (x). O True O False

A:

Q: For which a is each of the following functions defined 2x – 3 (a) f(x) = (b) 1 g(x) = 3x + 2 4.x + 5

A:

Q: find functions f and g so that f ∘ g = H.

A: H(x)=2x+1

Q: The function f is given below. Find f1(x). 2x-4 f(z) = %3D x-5

A: to find an inverse function, interchange variables, and solve for y

Q: (b) Let the function f: R → R defined by 3x for x > 3 2x2 + 3 for - 2 < x< 3 3 x? – 7 for x<-2 f(x)…

A:

Q: Evaluate the function. Find f(2) for (5x+1ifx<1 f(x) = 2x if 2 ≤x ≤6 2-2x if x 6 04 O 06 13 -2 PER…

A: Given: f(x)=5x+1if x&lt;12xif 2≤x≤62-2xif x&gt;6

Q: Find the value of c so that the function x² + cx if x 1 is continuous for all real numbers.

A:

Q: Refer to the following functions: p(x)= x² + 2x - 15 x+1 q(x) = x-3 r(x) = √7-x Which of the…

A: ii only is the correct statement.

Q: Express the function F in the form f ∘ g ∘ h. (Enter your answers as a comma-separated list. Use…

A: first we analysis to given question that how to find f, G, h then we compute F(x) function.

Q: Express the following functions F, H and G in the form f∘g. (Enter your answers as a comma-separated…

A:

Q: 3. Show algebraically that the function f (x) x* – - 2x + 5 has even, odd or neither symmetry.

A: To find out that the function has even, odd or neither of these symmetry.

Q: If f(x) = x' + 2x (a) fog I and g(x) 2x 3, find each of the following functions (b) g f (c) g g-9

A:

Q: Express the function F in the form f∘g. (Enter your answers as a comma-separated list. Use…

A: Remark: we know that (f•g)(x) = f(g(x))

Q: Find the following. Let f(x)= x+1, g(x)= 2x, and h(x)=x-2. a. (h o h) (x) b. (f o g) (x) c. (g o h)…

A: