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Given the functions f(x)=x+5, g(x)=2x-1 h(x)=2x²+9y-5 1.) (f+g)(x)= 2.) (f-g)(x)= 3.) (f°g)(x)= 4.) (h/g)(x)= 5.) (f+g)(3)=​

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Domaumaruchan69go

1. Find ( f + g ) ( x )

( f + g ) ( x ) = (x + 5) + (2x – 1)

= x + 5 + 2x – 1

= 3x + 4

2. Find ( f – g ) ( x )

( f – g ) ( x ) = f ( x ) – g ( x )

= ( x + 5 ) – ( 2x – 1 )

= x + 5 – 2x + 1

= – x + 6

3. Find ( f • g ) ( x )

( f • g ) ( x ) = f ( x ) • g ( x )

= ( x + 5 ) ( 2x – 1 )

= 2x² – x + 10x – 5

= 2x² + 9x – 5

4. Find ( h/ g ) ( x )

[tex] \frac{h}{g}(x) \: = \: \frac{h(x)}{g(x)} [/tex]

[tex] \frac{2 {x}^{2} + 9y - 51 }{2x - 1} \\ \\ 2x - 1 = 0 \\ \\ 2x = 1 \\ \\ x = \frac{1}{2} \: or \: 0.5[/tex]

5. Find ( f + g ) ( 3 )

Solution

  • Step 1. Find ( f + g ) ( x )

( f + g ) ( x ) = (x + 5) + (2x – 1)

= x + 5 + 2x – 1

= 3x + 4

  • Step 2. Find ( f + g ) ( 3 )

( f + g ) ( x ) = 3x + 4

( f + g ) ( 3 ) = 3( 3 ) + 4

= 9 + 4

= 13

: Hope this helps. Pa-Brainliest, thanks!

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