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Masteriza [31]
2 years ago
12

If f(x)=4x+3 and g(x)=x^2-3 then f(g(2))

Mathematics
1 answer:
grandymaker [24]2 years ago
4 0

Answer:

<em>f(g(2))=7</em>

Step-by-step explanation:

<u>The Composite Function</u>

Given f(x) and g(x) as real functions, the composite function (f\circ g)(x) is defined as:

(f\circ g)(x)=f(g(x))

It can be found by substituting g into f.

The given functions are:

f(x)=4x+3

g(x)=x^2-3

It's required to find f( g( 2 ) )

Find g(2):

g(2)=2^2-3

Operating:

g(2)=4-3 =1

g(2)=1

Now find f(1):

f(1)=4(1)+3

f(1)=4+3 =7

Thus:

f( g( 2 ) )=7

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Step-by-step explanation:

8 0
2 years ago
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Help ? Plz forgot the steps (3z+9)(z-4)
Dafna11 [192]
It's a binomial times a binomial, so you FOIL
First multiply the First numbers
3z*z = 3z(^2)
Then multiply Outers:
3z* -4  = -12z 
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9*z = 9z
Finally, the Lasts: 
-4*9 = -36
Then, throw it all together in descending order, starting with the variable of highest degree to lowest:
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Last of all, simplify coefficients with like terms and you're good to go:
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Hope this helps!
3 0
3 years ago
1. Jose is planning a sixteenth birthday party for his friend. The invitations
andrezito [222]

Answer:

C= 0.39p

or

15=0.39p

Step by Step

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4 0
3 years ago
Identify a transformation of the function f(x)
N76 [4]

Answer:

2nd option

Step-by-step explanation:

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• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

Here g(x) = (x - 6)²

The base graph has been shifted right 6 units

7 0
3 years ago
Is there a way to solve this without l'hopital's rule?
pychu [463]

Answer:

Step-by-step explanation:

I cant remember how to do it but one way would be to find the series expansion of this at x = ∞.

7 0
2 years ago
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