Question

Any help would be GREAT!!!
Let f(x) = x + 2 and g(x) = x2 Find ( g o f)(-5)

A. -3
B. 9
C. -10
D. 49

Answer 1

Hey Stew's mom c:

\[\Large\rm f(x)=x+2, \qquad\qquad g(\color{orangered}{x})=(\color{orangered}{x})^2\]

Answer 2

Let's use the other notation for composition, I think it's easier to understand.\[\Large\rm (g \circ f)(x)= g\left(f(x)\right)\]

Answer 3

So we're starting with our function:
\[\Large\rm g(\color{orangered}{x})=(\color{orangered}{x})^2\]
and we're replacing the orange x's with f(x):\[\Large\rm g(\color{orangered}{f(x)})=(\color{orangered}{f(x)})^2\]\[\Large\rm g(\color{orangered}{f(x)})=(\color{orangered}{x+2})^2\]

Answer 4

And then we're evaluating this composition at x=-5,\[\Large\rm g(\color{orangered}{f(-5)})=(\color{orangered}{-5+2})^2\]

Answer 5

What do you think? :O
Confusing?

Answer 6

Yea I'm kinda lost!

Answer 7

Got it right! It was A Thanks for you help!

Answer 8

No, not A

:'c

Answer 9

oops I was meaning B! Sorry #zepdrix