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ludmilkaskok [199]
3 years ago
15

Help me with my math

Mathematics
1 answer:
DanielleElmas [232]3 years ago
4 0

There's a trick to know here:

    If (a,0) or x=a is an x-intercept, then (x-a) is a factor of the polynomial.

From your graph, you have x=0, x=5, and x=7 as the x-intercepts.

Then (x-0), (x-5), and (x-7) are factors of the polynomial.

  (Note: (x-0) would usually be written just as "x".)

So, the factored form is v(x) = x (x-5) (x-7)

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3 years ago
If f(x) = 2x+7 and g(x) = -3x+5, what is f(g(1))?
Murrr4er [49]

Answer:

f(g(1))=11

Step-by-step explanation:

So we have the two functions:

f(x)=2x+7\text{ and } g(x)=-3x+5

And we want to find f(g(1)).

So, let's find g(1) first:

g(x)=-3x+5

Substitute 1 for x:

g(1)=-3(1)+5

Simplify:

g(1)=-3+5

Add:

g(1)=2

So:

f(g(1))=f(2)

Now, substitute 2 for x in f(x):

f(x)=2x+7\\f(2)=2(2)+7

Multiply:

f(2)=4+7

Add:

f(2)=11

So:

f(g(1))=11

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