## anonymous one year ago Given that f(x) = 2x + 5 and g(x) = x − 7, solve for f(g(x)) when x = −3

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1. jim_thompson5910

g(x) = x − 7 g(-3) = -3 − 7 ... replace x with -3 g(-3) = ??? ... tell me what you get

2. anonymous

-10

3. anonymous

$$\bf f(x) = 2x + 5 \qquad {\color{brown}{ g(x)}} = x - 7 \\ \quad \\ f(\quad {\color{brown}{ g(x)}}\quad )=2{\color{brown}{ g(x)}}+5\to 2({\color{brown}{ x-7}})+5 \\ \quad \\ x={\color{blue}{ 3}} \\ \quad \\ f(\quad {\color{brown}{ g({\color{blue}{ 3}})}}\quad )=2{\color{brown}{ g({\color{blue}{ 3}})}}+5\to 2({\color{brown}{ {\color{blue}{ 3}}-7}})+5$$

4. jim_thompson5910

now you plug that into f(x)

5. jim_thompson5910

f(x) = 2x + 5 f(-10) = 2*(-10) + 5 f(-10) = ???

6. anonymous

-15

7. jim_thompson5910

correct

8. anonymous

Thanks :D

9. jim_thompson5910

no problem