Relations and Functions (Function Operations)

Question 1

Let f(x) = x + 1 and g(x) = x². Find (f ∘ g)(2)

Accepted Answer

5

Question 2

let f(x) = x2 + x and g(x) = x. find (f / g)(3)

Accepted Answer

4

Question 3

Let f(x) = 2x and g(x) = x - 1. Find (f ∘ g)(3)

Accepted Answer

4

Question 4

Let h(x) = 3x + 3 and g(x) = -4x + 1. Find (h + g)(10)

Accepted Answer

-6

Question 5

Find the inverse of h(x) = ∛x - 3

Accepted Answer

h^{-1}\left(x\right)=\left(x+3\right)^3

Question 6

Let f(x) = 2x + 8 and g(x) = -x2 + 4x - 1. Find f(x) x g(x)

Accepted Answer

-2x3 + 30x - 8

Question 7

Let h(t) = 2t + 1 and g(t) = 2t + 2. Find (h - g)(t)

Accepted Answer

-1

Question 8

Let g(x) = -x2 - 1 - 2x and f(x) = x + 5. Find (g - f)(x)

Accepted Answer

-x2 - 3x - 6

Question 9

Let h(x) = 3x and k(x) = x2 . find (h x k)(2)

Accepted Answer

24

Question 10

Let f(x) = 2x2 and g(x) = x. Find (f / g)(2)

Accepted Answer

4

Question 11

Find the inverse of g(n) = 3 + n3

Accepted Answer

g-1 (x) = ∛x-3

Question 12

Let f(x) = 2x + 3 and g(x) = x - 1. Find (f + g)(4)

Accepted Answer

14

Questions 12