Komposisi Fungsi dan Invers

Given f={(2,4),(3,7),(5,13),(7,19)}, g={(5,20),(7,28),(13,52)}, and h={(20,-15),(28,-23),(52,-47)}. The result of (h°g°f)(5) is ...

• 20

• -23

• 28

• -15

• -47

Given the function f(x)=3x-1 and g(x)=2x^2-3. The composition function (g°f)(x) is ...

• 9x^2-3x+1

• 9x^2-6x+3

• 9x^2-6x+6

• 18x^2-12x+2

• 18x^2-12x-1

Given g(x)=2x-4 and (f°g)(x)=(7x+3)/(5x-9). The value of f(2) is ...

• 2

• 5

• 1

• 4

• 0

Given f(x)=2x-1 and (g°f)(x)=4x^2-10x+5. The value of g(-1) is ...

• 3

• 7

• 1

• 5

• 0

Given g(x)=(x+1)/(2x-3), x≠3/2. The inverse of the function g is g(x) = ...

• (3x-1)/(2x-1), x≠1/2

• (3x+1)/(2x-1), x≠1/2

• (-3x-1)/(2x-1), x≠1/2

• (3x-1)/(2x+1), x≠-1/2

• (-3x+1)/(2x+1), x≠-1/2

If g^(-1) is the inverse of g(x)=(8-3x)/(4-x), x≠4 then the value of g^(-1)(4) = ...

• -8

• 0

• 4

• 8

• 16

If f(x+4)=x and g(3-x)=x, then the value of f(g(1))+g(f(2)) = ...

• 4

• 3

• 2

• 1

• 0

Given f(x)=3x+2 and g(x)=x^2−x+3. The composition function (fog)(x)= ...

• 3x^2−3x+11

• 3x^2−3x−11

• 9x^2−9x−5

• 9x^2−9x−5

• 3x^2+3x+11

Given f(x)=(2-3x)/(6x-5), x≠5/6. The inverse of the function f(x) is...

• f^(-1)(x)=(5x+2)/(6x-3), x≠1/2

• f^(-1)(x)=(5x-2)/(6x+3), x≠-1/2

• f^(-1)(x)=(6x+3)/(5x+2), x≠-2/5

• f^(-1)(x)=(5x+2)/(6x+3), x≠-1/2

• f^(-1)(x)=(6x-3)/(5x+2), x≠-2/5

Given the function f(x)=x^2+2x and g(x)=x-3. The composition function (f°g)(x) is ...

• (f°g)(x)=x^2-4x+6

• (f°g)(x)=x^2-4x+3

• (f°g)(x)=x^2+2x+6

• (f°g)(x)=x^2+2x-6

• (f°g)(x)=x^2+3x-3