If 𝑓(𝑥)=2𝑥+3f(x)=2x+3, 𝑔(𝑥)=𝑥2−5g(x)=x 2 −5, and ℎ(𝑥)=𝑥2h(x)= 2x , find the value of h(g(f(4))).a116b58c11d4
Question
If , , and , find the value of .
Options:
- a) 116
- b) 58
- c) 11
- d) 4
Solution
The question is asking for the value of h(g(f(4))). To solve this, we need to follow the order of operations, which is from the inside out.
-
First, find the value of f(4). The function f(x) is defined as 2x + 3. So, f(4) = 2*4 + 3 = 11.
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Next, find the value of g(f(4)). We know that f(4) = 11, so we need to find g(11). The function g(x) is defined as x^2 - 5. So, g(11) = 11^2 - 5 = 116.
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Finally, find the value of h(g(f(4))). We know that g(f(4)) = 116, so we need to find h(116). The function h(x) is defined as x^2. So, h(116) = 116^2 = 13456.
So, the value of h(g(f(4))) is 13456.
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