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mihalych1998 [28]
4 years ago
5

Let f(x) = x2 and g(x) = x − 3. Evaluate (g ∘ f)(−2).

Mathematics
2 answers:
zysi [14]4 years ago
6 0

Answer:

The value of (g ∘ f)(-2) is 1          

Step-by-step explanation:

Given two functions

f(x)=x^2, g(x)=x-3

we have to evaluate (g ∘ f)(-2).

As, (g ∘ f)(-2)=g(f(x))

g(f(x))=g(x^2)

As g(x)=x-3

g(x^2)=x^2-3

Therefore,

(g o f)(x)=x^2-3

To find the value of (g ∘ f)(-2), we have to substitute x=-2

(g o f)(-2)=(-2)^2-3=4-3=1

Hence, the value of (g ∘ f)(-2) is 1

insens350 [35]4 years ago
3 0
<span>(g ∘ f)(−2) = g(f(-2))

f(-2) = (-2)^2 = 4
g(f(-2)) = 4 -3 = 1

</span><span>answer
 
(g ∘ f)(−2) = 1</span>
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