Advertisements
Advertisements
प्रश्न
Find the value of k, such that fog = gof
f(x) = 3x + 2, g(x) = 6x – k
Advertisements
उत्तर
f(x) = 3x + 2, g(x) = 6x – k
fog(x) = f(g(x))
= f(6x – k)
= 3(6x – k) + 2
= 18x – 3k + 2 …(1)
gof(x) = g(f(x))
= g(3x + 2)
= 6(3x + 2) – k
= 18x + 12 – k ...(2)
(1) = (2)
⇒ 18x – 3k + 2 = 18x + 12 – k
2k = –10
k = –5
APPEARS IN
संबंधित प्रश्न
Find the value of k, such that fog = gof
f(x) = 2x – k, g(x) = 4x + 5
If f(x) = x2 – 1. Find fofof
Multiple choice question :
If f(x) = 2x2 and g(x) = `1/(3x)`, then fog is
Multiple choice question :
If g = {(1, 1), (2, 3), (3, 5), (4, 7)} is a function given by g(x) = αx + β then the value of α and β are
Which condition is required for g∘f to be defined?
Which statement correctly describes the order of applying functions in \(g\circ f\)?
Which statement expresses that composition is not commutative in general?
Which additional identity-function relation is valid whenever the composition is defined?
For \(f(x)=4x^2+1\) and \(g(x)=\frac{1}{x+2}\), what is \((f\circ g)(-1)\)?
For \(f(x)=4x^2+1\) and \(g(x)=\frac{1}{x+2}\), which formula represents \((f\circ g)(x)\)?
