Let g(x)=8x-5. Which of the following is equivalent to g(g(x)) ? Choose 1 answer: (A) 64 x-10 (B) 64 x-45 (c) 64x^(2)+25 () 64x^(2)-80 x+25

Understand g(x) and g(g(x)): Understand the function g(x) and what g(g(x)) means. The function g(x) = 8x - 5 is a linear function. To find g(g(x)), we need to substitute the function g(x) back into itself for x.Substitute g(x): Substitute g(x) into itself to find g(g(x)). g(g(x)) = g(8x - 5) We will now replace the x in g(x) with (8x - 5).Apply g(x) to expression: Apply the function g(x) to the expression (8x - 5). g(8x - 5) = 8(8x - 5) - 5 Now we will distribute the 8 and then subtract 5.Distribute 8: Distribute the 8 within the parentheses. 8 * 8x = 64x 8 * (-5) = -40 So, g(8x - 5) = 64x - 40 - 5Combine like terms: Combine like terms. 64x - 40 - 5 = 64x - 45 So, g(g(x)) = 64x - 45

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Let $g(x)=8x-5$ . $\newline$ Which of the following is equivalent to $g(g(x))$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $64x-10$ $\newline$ (B) $64x-45$ $\newline$ (C) $64x^{2}+25$ $\newline$ (D) $64x^{2}-80x+25$

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Math Problems

Grade 6

One-step inequalities: word problems

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Q. Let

g(x)=8x-5

\newline

Which of the following is equivalent to

g(g(x))

\newline

Choose

1

answer:

\newline

(A)

64x-10

\newline

(B)

64x-45

\newline

(C)

64x^{2}+25

\newline

(D)

64x^{2}-80x+25

Understand $g(x)$ and $g(g(x))$ : Understand the function $g(x)$ and what $g(g(x))$ means. $\newline$ The function $g(x) = 8x - 5$ is a linear function. To find $g(g(x))$ , we need to substitute the function $g(x)$ back into itself for $x$ .
Substitute $g(x)$ : Substitute $g(x)$ into itself to find $g(g(x))$ . $\newline$ $g(g(x)) = g(8x - 5)$ $\newline$ We will now replace the $x$ in $g(x)$ with $(8x - 5)$ .
Apply $g(x)$ to expression: Apply the function $g(x)$ to the expression $(8x - 5)$ . $\newline$ $g(8x - 5) = 8(8x - 5) - 5$ $\newline$ Now we will distribute the $8$ and then subtract $5$ .
Distribute $8$ : Distribute the $8$ within the parentheses. $8 \times 8x = 64x$ $8 \times (-5) = -40$ So, $g(8x - 5) = 64x - 40 - 5$
Combine like terms: Combine like terms. $\newline$ $64x - 40 - 5 = 64x - 45$ $\newline$ So, $g(g(x)) = 64x - 45$