Let f : R → R, g : R → R defined by f(x) = 4x-1 and g(x) = cos x. The value of fog is ------ a. 4 cos x +1
b. 4 cos x
c. 4 cos x -1
d. 4 sin x +1
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Answer:
Given that f(x)=cosx and g(x)=3x
2
Given f:R→R and g:R→R,
∴f o g:R→R and g o f:R→R
f o g(x)=f(g(x))=f(3x
2
)=cos(3x
2
)
g o f(x)=g(f(x))=g(cosx)=3cos
2
x
Since cos(3x
2
)
=3cos
2
x.
∴g o f
=f o g
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