Mathematics
24.02.2021 14:53
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Let g(x) = x - 3 and h(x) = x2 + 6. what is (h o g)(1)?
Let g(x) = x - 3 and h(x) = x2 + 6. what is (h o g)(1)?
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liliauedt
4,8(5 marks)
![\bf g(x)=x-3\qquad h(x)=x^2+6 \\\\\\ (h\circ g)(1)\implies h[\ g(1)\ ]\impliedby \textit{now, let's find g(1) first} \\\\\\ g(1)=(1)-3\implies g(1)=\boxed{-2}\qquad thus \\\\\\ h[\ g(1)\ ]\implies h\left( \boxed{ -2}\right)\implies h(-2)=(-2)^2+6 \\\\\\ h(-2)=4+6\implies h(-2)=10\impliedby (h\circ g)(1)](/tpl/images/0242/3643/4190a.png)
brinks7994
4,4(87 marks)
x = 9
Step-by-step explanation:
7x + 3x - 18 = 6(x + 3)
10x - 18 = 6(x + 3) Add like terms
10x - 18 = 6x + 18 Distribute 6 to x and 3
4x - 18 = 18 Subtract 6x to both sides
4x = 36 Add 18 to both sides
x = 9 Divide 4 to both sides
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