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{:[g(x)=3x-7],[h(x)=2-g(x)]:}
The functions 
g and 
h are defined. What is the value of 
h(1) ?
Choose 1 answer:
(A) 6
(B) 1
(C) -2
(D) -6

{g(x)=3x7 h(x)=2g(x)\begin{cases} g(x)=3x-7 \ h(x)=2-g(x) \end{cases}\newlineThe functions gg and hh are defined. What is the value of h(1)h(1)?\newlineChoose 11 answer:\newline(A)\text{(A)} 66\newline(B)\text{(B)} 11\newline(C)\text{(C)} 2-2\newline(D)\text{(D)} 6-6

Full solution

Q. {g(x)=3x7 h(x)=2g(x)\begin{cases} g(x)=3x-7 \ h(x)=2-g(x) \end{cases}\newlineThe functions gg and hh are defined. What is the value of h(1)h(1)?\newlineChoose 11 answer:\newline(A)\text{(A)} 66\newline(B)\text{(B)} 11\newline(C)\text{(C)} 2-2\newline(D)\text{(D)} 6-6
  1. Find g(1)g(1): First, we need to find the value of g(1)g(1) by substituting xx with 11 in the function g(x)=3x7g(x) = 3x - 7.\newlineCalculation: g(1)=3(1)7=37=4g(1) = 3(1) - 7 = 3 - 7 = -4
  2. Calculate g(1)g(1): Now, we use the value of g(1)g(1) to find h(1)h(1) by substituting g(1)g(1) into the function h(x)=2g(x)h(x) = 2 - g(x).\newlineCalculation: h(1)=2g(1)=2(4)=2+4=6h(1) = 2 - g(1) = 2 - (-4) = 2 + 4 = 6