Mathematics, 09.11.2020 14:00 krystalScott17

F(x)= $x^{2}$ -5 g(x) = $-3x^{2}$
f(g(2)) = ?

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Answer from: rex1578

$g(x) = - 3 {x}^{2} \\ g(2) = - 3( {2}^{2} ) \\ g(2) = - 3 \times 4 \\ g(2) = - 12 \\ \\ f(x) = {x}^{2} - 5 \\ \\ f(g(2)) = {( - 12)}^{2} - 5 \\ f(g(2)) = 144 - 5 \: \: \: \: \: \: \: \: \\ f(g(2)) = 139$

First we have calculated g(2) by substituting x as 2 in $\sf g(x) = -3x^2.$

We obtain, g(2) = -12

Then, f(g(2)). This is the same as finding f(x), just in place of x we have to find for g(2). So we can write that as, f(g(2)) = f(-12) and then find f(-12) by substituting x as -12 in $\sf f(x) = x^2 - 5$

We obtain, f(-12) = f(g(2)) = 139

Answer from: Quest

what are the statments

step-by-step explanation:

Answer from: Quest

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

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F(x)= -5 g(x) =
f(g(2)) = ?

Show your steps and explain....