Question

f(x)=2x+5 hallar f(x+2h)-f(x)/4h

Answer 1

f(X) = 2X + 5

f(X + 2h) = 2(X + 2h) + 5 = 2X + 4h + 5

f(X + 2h) - f(X) = (2X + 4h + 5) - (2X + 5) = 2X + 4h + 5 - 2X - 5 = 4h

f(X + 2h) - f(X) = 4h


[f(X + 2h) - f(X)]/[4h] = 4h/4h = 1

[f(X + 2h) - f(X)]/[4h] = 1