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{:[f(x)=-x^(2)+5],[g(x)=3-f(x)]:}
The functions 
f and 
g are defined above. What is the value of 
g(-1) ?

{:\left[\begin{array}{l}f(x)=-x^{22}+55\g(x)=33-f(x)\end{array}\right]:}\newlineThe functions ff and gg are defined above. What is the value of g(1)g(-1) ?

Full solution

Q. {:\left[\begin{array}{l}f(x)=-x^{22}+55\g(x)=33-f(x)\end{array}\right]:}\newlineThe functions ff and gg are defined above. What is the value of g(1)g(-1) ?
  1. Calculate f(1)f(-1): Calculate f(1)f(-1) using the function f(x)=x2+5f(x) = -x^2 + 5.\newlinef(1)=(1)2+5=1+5=4f(-1) = -(-1)^2 + 5 = -1 + 5 = 4.
  2. Substitute value into g(x)g(x): Substitute the value of f(1)f(-1) into g(x)=3f(x)g(x) = 3 - f(x) to find g(1)g(-1).\newlineg(1)=3f(1)=34=1g(-1) = 3 - f(-1) = 3 - 4 = -1.

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