jaydakid125 jaydakid125
  • 04-02-2020
  • Mathematics
contestada

Suppose f'(7)=9 and g(7)= 5.
Find h'(7) where h(x) = 3f(x) + 2g(x) + 7

h'(7)=???

Respuesta :

jitushashi143 jitushashi143
  • 10-02-2020

Answer:

The value of h'(7) = 44 .

Step-by-step explanation:

Given:

f'(7)=9 and g(7)= 5

We have to find : h'(7)

Also,

⇔ [tex]h(x) = 3f(x) + 2g(x) + 7[/tex]   ...equation (i)

Plugging the value of 'x' = 7 in equation (i) the equation can be re-framed as:

⇔ [tex]h(7) = 3f(7) + 2g(7) + 7[/tex]

⇔ [tex]h(7) = 3f(7) + 2g(7) + 7[/tex]

Now plugging the value of f'=(7)=9 and g(7)=5 in the above equation:

⇔ [tex]h(7) = 3(9) + 2(5) + 7[/tex]

⇔ [tex]h(7)=27+10+7[/tex]

⇔ [tex]h(7)=44[/tex]

So the value of h=(7) = 44 .

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