Advertisements
Advertisements
प्रश्न
Using the function f and g given below, find fog and gof. Check whether fog = gof
f(x) = 4x2 – 1, g(x) = 1 + x
Advertisements
उत्तर
f(x) = 4x2 – 1, g(x) = 1 + x
fog = f[g(x)]
= 4(1 + x)
= 4(1 + x)2 – 1
= 4[1 + x2 + 2x] – 1
= 4 + 4x2 + 8x – 1
= 4x2 + 8x + 3
gof = g[f(x)]
= g(4x2 – 1)
= 1 + 4x2 – 1
= 4x2
fog ≠ gof
APPEARS IN
संबंधित प्रश्न
Using the function f and g given below, find fog and gof. Check whether fog = gof
f(x) = x – 6, g(x) = x2
Using the function f and g given below, find fog and gof. Check whether fog = gof
f(x) = `(2)/x`, g(x) = 2x2 – 1
Using the function f and g given below, find fog and gof. Check whether fog = gof
f(x) = `(x + 6)/3`, g(x) = 3 – x
Consider the function f(x), g(x), h(x) as given below. Show that (fog)oh = fo(goh)
f(x) = x2, g(x) = 2x and h(x) = x + 4
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 statement correctly describes the order of applying functions in \(g\circ f\)?
If three functions are composable, which associative property holds?
For \(f(x)=4x^2+1\) and \(g(x)=\frac{1}{x+2}\), what is \((f\circ g)(-1)\)?
For \(f(x)=\frac{x-1}{x+1}\), which expression equals \((f\circ f)(x)\)?
