## anonymous one year ago Given that f(x) = −x + 4 and g(x) = −2x − 3, solve for f(g(x)) when x = 2.

1. netlopes1

Do you know what's composite function?

2. anonymous

First calculate g(x)

3. anonymous

g(2) = -2(2) - 3 g(2) = -4 -3 = -7 g(2) = -7

4. netlopes1

$f(x) = -x+4 \quad and \quad g(x)=-2x-3. \quad f(g(x))=-(-2x-3)+4 \rightarrow$

5. anonymous

Now go in to calculate f(x) which would be taken from the answer from g(2) f(-7) = -(-7) + 4 f(-7) = 11 f(g(x)) = 11

6. netlopes1

Or...$f(g(x))=2x+7 \rightarrow f(g(2))=2.2+7 \rightarrow f(g(2))=11.$

7. anonymous

Yeah you could do whichever way is easier ! :)

8. netlopes1

Thanks....