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(Solved): Consider the following functions. \[ f(x)=4 x-2, \quad g(x)=5 x^{2} \] (a) Find \( (f \circ g)(x) \ ...




Consider the following functions.
\[
f(x)=4 x-2, \quad g(x)=5 x^{2}
\]
(a) Find \( (f \circ g)(x) \).
(b) Find \( (g \circ f)
Consider the following functions. \[ f(x)=4 x-2, \quad g(x)=5 x^{2} \] (a) Find \( (f \circ g)(x) \). (b) Find \( (g \circ f)(x) \). (c) Find \( f(g(3)) \). (d) Find \( g(f(4)) \).


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Sol. Since f(x)=4x?2 and g(x)=5x2 Now , A) (fog)(x)=f(g(x)) It means composing the g(x) in function f(x) (fog)(x)=f(g(x)) Putting the values we have;
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