Given f(x)= 4x + 8; find: f(x + h) - f(x)
You asked:
Evaluate the function \(f\left( x \right) = 4 x + 8\), \(f\left( x + h \right) - f\left( x \right)\).
MathBot Answer:
$$\begin{aligned}f\left( x + h \right) - f\left( x \right)&=4 h\end{aligned}$$
$$\begin{aligned}f\left( x + h \right) - f\left( x \right)&=-\left(8 + 4 x\right) + 8 + 4 \left(h + x\right)\\f\left( x + h \right) - f\left( x \right)&=8 + 4 \left(h + x\right) + - 4 x - 8\\f\left( x + h \right) - f\left( x \right)&=- 4 x - 8 + 4 h + 4 x + 8\\f\left( x + h \right) - f\left( x \right)&=4 h\\\end{aligned}$$