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Vedmedyk [2.9K]
4 years ago
12

If f(x) = 3x – 2 and g(x) = 2x + 1, find (f + g)(x). please help :C

Mathematics
2 answers:
Ostrovityanka [42]4 years ago
7 0

Answer:

5x-2

Step-by-step explanation:

If f(x) = 3x – 2 and g(x) = 2x + 1

we need to find (f + g)(x)

(f + g)(x)= f(x) + g(x)

Replace f(x) and g(x) in the given equation

(f + g)(x)= f(x) + g(x)=3x-3+2x+1

Now we combine like terms

(f + g)(x)= f(x) + g(x)=3x-3+2x+1=5x-2

(f + g)(x)=5x-2

Luba_88 [7]4 years ago
3 0
(f+g)(x) = f(x) + g(x)

(f+g)(x) = 3x-2 + 2x+1

(f+g)(x) = (3x+2x) + (-2+1)

(f+g)(x) = 5x - 1
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                                                        Solutions 

                          g(x) = \frac{1}{3} - \frac{4}{3} x 

                          g(x) = - <span>\frac{4}{3} x + \frac{1}{3} 

                           x = -5 

                           = </span>g(x) = - \frac{4}{3} × (-5) + <span>\frac{1}{3} 
</span>
                           = \frac{20}{3} + <span>\frac{1}{3} 
</span>
                           = \frac{21}{3} 

                           = 7 

(-5,7)

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

           x = 7 

                    = g(x) = - \frac{4}{3} × (7) +  <span>\frac{1}{3}  
</span>
                    = \frac{-28}{3} + <span>\frac{1}{3}   
</span>
                   = \frac{-27}{3} = -9 

                   (-7,9) 

x = (-7,9)       y = <span>(-5,7)</span>



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