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Shape Conversion of Solids

what is fog a...

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what is fog and gof function

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Q. If f, g : R → R be two functions defined as f(x) = |x| + x and g(x) = |x| –

x, \forall x \in R

. Then find fog and gof. Hence find fog(–3), fog(5) and gof (–2).

Q. If the function f and g are defined from the set of real numbers R to R such that

f (x) = e^{x}, g (x) = 3 x - 2

then find functions fog and gof. Also find the domains of the functions

(f o g)^{- 1}

(g o f)^{- 1}

f (x) = x + 1

g (x) = x^{2}

F o g (1)

G o f (- 1)

F o g (2)

G o f (3)

Q. If f be the greater integer function and g be the modulus function, then

(g o f) (- \frac{5}{3}) - (f o g) (- \frac{5}{3})

f (x) = \sqrt{x + 3} and g (x) = x^{2} + 1

be two real functions, then find fog and gof.

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