Question

can I please get some help for this Algebra question?

Answer 1

I don't know why I am so confused with this question! Can someone please point me in the right direction?

Answer 2

HI!!

Answer 3

look at the graph
what is \(f(-2)\)?

Answer 4

\[(f+g)(a)=f(a)+g(a)\]\[(f-g)(a)=f(a)-g(a)\]\[(fg)(a)=f(a) \times g(a)\]\[(\frac{f}{g})(a)=\frac{f(a)}{g(a)} \space ; \space g(a)\neq 0\]
Use these formulae and find the values from the graph

Answer 5

so to find for your first part
\[(f+g)(-2)=f(-2)+g(-2)\]
you do it like that
and the value of f(-2) and g(-2) may be obtained from the graph

Answer 6

Okay but I how do I find that?

Answer 7

F=-2,4?
G=-2,0??

Answer 8

yep! what are the y values for these points

Answer 9

Think of your f(x) as y-values for the blue curve and g(x) as the y-values for the pink straight line
so to find f(-2), we find the corresponding y value for the x value -2 on the blue curve
and to find g(-2), we find the corresponding y value for the x value -2 on the pink straight line

Answer 10

Hmm..okay..Now what? :/ still kind of confused

Answer 11

you've found your
\[f(-2)=4\]\[g(-2)=0\]
Because -2,4 is a point lying on the blue curve and -2,0 is a point lying on the pink straight line

Answer 12

basically u look at the x value, look for what value of y for that x we have a point lying on the curve and the line

Answer 13

Ok do I add or subtract the numbers now? I think I remember learning that.

Answer 14

\[(f+g)(-2)=f(-2)+g(-2)\]
add them up :)

Answer 15

-4 ?