The value of the function defined by f(g(1)) is; 5.
The value of the function defined by; (h o f )(2) is; 10.
What is the value of the functions as defined in the task content?
It follows from the task content that the functions given are defined as;
- f(x)= 2x-1
- g(x) = 3x
- h(x) = x² +1
Hence, it follows from the task content that the value of the function defined as;
f(g(1)) = f(3(1)) = f(3) = 2(3)-1 = 5.
Also, the value of the function;
(h o f ) = (2x-1)² +1
(h o f ) = 4x²-4x +1 +1
Hence, (h o f )(2) = 4(2)² -4(2) +1 +1
= 16 -8 +2
= 10.
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