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3 years ago

If f(x) = 2x + 3 and g(x) = 3x - 9, find f(g(x)).

Mathematics

2 answers:

Maksim231197 [3]3 years ago

3 0

Answer:

6x-15

Step-by-step explanation:

First plug in 3x-9 for x

2(3x-9) +3

Multiply 2 by (3x-9)

2(3x-9)=6x-18

add 3

6x-18+3=6x-15

hope this helps :)

Novosadov [1.4K]3 years ago

3 0

Answer:

$\boxed{\sf f(g(x)) = 6x -15 }$

Given:

$\sf f(x) =2x + 3 \\ \sf g(x) = 3x - 9$

To find:

$\sf f(g(x))$

Step-by-step explanation:

$\sf Evaluate \ f(g (x)) \ by \ substituting \ in \ the \\ \sf value \ of \ g(x) \ into \ f(x): \\ \sf f(3x - 9) = 2(3x - 9) + 3 \\ \\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \sf = (2 \times 3x) - (2 \times 9) + 3 \\ \\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \sf = 6x - 18 + 3 \\ \\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \sf = 6x - 15$

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Required

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$\begin{array}{cccc}{} & {Romanticism} & {Gothic} & {Total} & {Males} & {48} & {63} & {111}& {Females} & {59} & {62} & {121} & {Total} & {107} & {125} & {232} \ \end{array}$

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