Let ƒ(x) = 5x2 – x + 1 and g(x) = –3x. Evaluate the composition (ƒ ∘ g)(1) .Question 12 options:A) (ƒ ∘ g)(1) = 49B) (ƒ ∘ g)(1)
1 answer:
Correct composition of ( f o g)(1) is option A i.e. (ƒ ∘ g)(1) = 49
<h3>What are functions ?</h3>- In mathematics, a function from a set X to a set Y assigns exactly one element of Y to each element of X.
- The sets X and Y are referred to together as the function's domain and codomain, respectively.
- A function connects an input with an output.
- It works like a machine, having an input and an output.
- Furthermore, the input and output are linked in some way.
f(x) = 5 – x + 1
g(x) = -3x
a) ( f o g )(1) = 49
f(g(1)) = 49
5 * - - (-3) + 1 = 45 +3+1 = 49
it is true
all the other options are not equal to the given answer .
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