The value of g(f(x)) will be 3(1-x²) and the value of g(f(2)) will be -9 for the f(x)=4-3x² and g(x)=x-1.
<h3>What is Function?</h3>
A function from a set X to a set Y assigns exactly one element of Y to each element of X. The set X is known as the function's domain, and the set Y is known as the function's codomain.
<h3>What are the 4 types of functions?</h3>
Functions are broadly classified into four categories. Element-based: one-to-one function, many-to-one function, onto function, one-to-one and onto function, into function.
Here, f(x)=4-3x² and g(x)=x-1
g(f(x))=(4-3x²)-1
g(f(x))=4-3x²-1
=3-3x²
=3(1-x²)
g(f(2))=3(1-2²)
=3*-3
=-9
For f(x)=4-3x² and g(x)=x-1, the value of g(f(x)) is 3(1-x²) and the value of g(f(2)) is -9.
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