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 .
