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Sagot :
Step-by-step explanation:
a. f(2) = 2(2) = 4
b. g(-3) = (-3)²+1 = 9+1 = 10
c. h(3) = 2(3)³ = 2(27) = 54
Answer:
a) 4
b) 10
c) 54
Step-by-step explanation:
Given functions:
[tex]\begin{cases}f(x)=2x\\g(x)=x^2+1\\h(x)=2(3)^x\end{cases}[/tex]
Part (a)
To find f(2), substitute x = 2 into function f(x) and solve:
[tex]\begin{aligned} \implies f(2)&=2(2)\\&=4\end{aligned}[/tex]
Part (b)
To find g(-3), substitute x = -3 into function g(x) and solve:
[tex]\begin{aligned} \implies g(-3)&=(-3)^2+1\\& = (-3 \cdot -3)+1 \\& = 9+1\\& = 10 \end{aligned}[/tex]
Part (c)
To find h(3), substitute x = 3 into function h(x) and solve:
[tex]\begin{aligned} \implies h(3) & = 2(3)^3\\ & =2(3 \cdot 3 \cdot 3) \\& = 2(27)\\ & = 54\end{aligned}[/tex]
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