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Given that
f(x)=-4x,quad g(x)=x-2 and
h(x)=2f(x+2)+2g(x), then what is the value of
h(5) ?
Answer:

Given that $f(x)=-4 x, \quad g(x)=x-2$ and $h(x)=2 f(x+2)+2 g(x)$ , then what is the value of $h(5)$ ? $\newline$ Answer:

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Solve logarithmic equations with multiple logarithms

Full solution

Q. Given that

f(x)=-4 x, \quad g(x)=x-2

and

h(x)=2 f(x+2)+2 g(x)

, then what is the value of

h(5)

?

\newline

Answer:

Calculate $f(5+2)$ : First, we need to find the value of $f(x)$ when $x$ is replaced by $5+2$ , which is $f(5+2)$ . $\newline$ Calculation: $f(5+2) = -4\times(5+2) = -4\times7 = -28$
Calculate $g(5)$ : Next, we calculate the value of $g(x)$ when $x$ is replaced by $5$ , which is $g(5)$ . $\newline$ Calculation: $g(5) = 5 - 2 = 3$
Find $h(5)$ : Now, we will use the values of $f(5+2)$ and $g(5)$ to find $h(5)$ using the given formula $h(x)=2f(x+2)+2g(x)$ . $\newline$ Calculation: $h(5) = 2\cdot f(5+2) + 2\cdot g(5) = 2\cdot (-28) + 2\cdot (3) = -56 + 6 = -50$

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