Answer:
Step-by-step explanation:
We are expected to solve for the change given the following values of x
0,h
so we substitute x= 0 and x=h in the given expression, get the result, and subtract the results from each other
for x=0
[tex]g(x) = 4 x + 7\\\\g(0)=4(0)+7\\\\g(0)=0+7\\\\g(0)=7[/tex]
for x=h
[tex]g(x) = 4 x + 7\\\\ g(h)=4(0)+7 \\\\g(h)=4h+7 \\\\g(h)=4h+7[/tex]
The change would be
[tex]g(h)-g(0)= (4h+7)-7\\\\g(h)-g(0)= 4h+7-7\\\\g(h)-g(0)= 4h[/tex]