3. Let f : R → R and g : R → R be defined by f(x) = 3x + 5 and g(x) = x² + 7. Find the composition functions gof and f o g.

Q: Q2: (a) Determine which of these functions are injective, surjective, and bijective. The function f…

A: a:Given are the following functions:i fx=2x+1ii fx=exiii fx=x3-3xTo find that the following…

Q: Let f: Z → Z where f(x) go f(0) = fog(-3) = go f(x) = fog(x) = = x² + 6. Let g: Z → Z where g(x) = x…

A:

Q: 3. Let f(x) = x² + 3 and g(x) = Vx – 3 be functions defined on [0, ∞) and [3, 00), respectively. i.…

A: According to question,  Given functions, f(x) = x2+3, g(x) = x-3 Function fx defined on interval :…

Q: 2) a. Show that the function f(x) = A x x – B is injection function. b. Find the inverse of the…

A:

Q: Show that x – P VB + (d - x)* g(x) is a decreasing function of x.

A:

Q: x + 1 (b) Let f(x) = and g(x) = x²+1. x + 2' ii. Determine if f and g are one to one or onto. iii.…

A: According to question given that f(x)=x+1x+2, g(x)=x2+1

Q: h(x) = (f °gXx) Let h(x)=(2x-5) and f(x) =x, find g(x). 1. Let h(x) = Vx-5 and f(x)= Vx, find g(x)…

A:

Q: Let f(x) = x²-1 and g(x)= V15 – a Find the the natural domain o the function gof(x)

A: we have to find domain

Q: Suppose f and g are positive functions. Is the following true or false? Vf,g:N → R f(x) E O(g(x)) =…

A: Big-Θ notation: A function g(n) is in Θ(f(n)) if there exist constants c1, c2, and N such that…

Q: Q: Let f: R→R be given by f(x)= x +3 Find (a){x: f(x)= 28} (b) The pre-image of 39 and 2 under f.

A:

Q: Let f: R - R and g: R - R be functions given by f(x) x' and g(x) x + 5. Find g of and fog

A: Answer

Q: 5.) Evaluate f(-3) for f(x) = x³ +3x + 17

A: Given  f(x) =x3+3x+17

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: If New Hampshire's population was 1.4 million in 2018 and there were 1.3 million motor vehicle…

A: