Function represent relationship between variables. The value of f[g(x)] when f(x) = 7x+13 and g(x) = x+2 is 7x+27.
A function assigns the value of each element of one set to the other specific element of another set.
Given to us
f(x) = 7x+13
g(x) = x+2
In order to find the value of f[g(x)], we will substitute the value of g(x) at the place of x in f(x).
[tex]f[g(x)] = 7(x+2)+13 \\\\ f[g(x)] = 7x+14+13 \\\\ f[g(x)] = 7x + 27[/tex]
Hence, the value of f[g(x)] when f(x) = 7x+13 and g(x) = x+2 is 7x+27.
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