A function assigns the values. The correct option is C, 45.
What is a Function?
A function assigns the value of each element of one set to the other specific element of another set.
A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.
Given the two functions, f(x)=lx+2l and g(x)=-x². Therefore, the value of (g·f)(x) can be written as,
(g·f)(x) = g(x) × f(x)
= -x² × lx+2l
= -x² ( lx+2l )
Thus, the value of (g·f)(x) is equal to -x²( lx+2l ).
Now, the value of (g·f)(3) can be found by substituting the value of x as 3 in the expression, -x²( lx+2l ). Therefore,
(g·f)(x) = -x² ( lx+2l )
(g·f)(3) = -(3)² ( l3+2l )
= -9 (|5|)
= -45
Hence, the value of (g·f)(3) is -45.
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