Find g[f(4)] if f(x) = 5x and g(x) = 3x - 7.
Solution:
Given functions are
f(x) = 5x and g(x) = 3x - 7
g(f(x)) is a composite function.
To find g(f(x)) we have to replace x by f(x)
f(x) = 5x
g(f(x)) = 3(5x) - 7
= 15x - 7
To find g(f(4)) we replace x by 4 and we get
g(f(4)) = 15(4) - 7
= 60 - 7
= 53
Find g[f(4)] if f(x) = 5x and g(x) = 3x - 7.
Summary:
If f(x) = 5x and g(x) = 3x - 7 then the value of g[f(4)] = 53.
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