f(x) =2x +1, g(x) =3x -1 and h(x) =5x+5 find h(x)-f(x)
You asked:
Given the following function definitions: \[\begin{aligned}f\left( x \right) &= 2 x + 1\\ g\left( x \right) &= 3 x - 1\\ h\left( x \right) &= 5 x + 5\end{aligned}\] Evaluate \(h\left( x \right) - f\left( x \right)\).
MathBot Answer:
$$\begin{aligned}h\left( x \right) - f\left( x \right)&=3 x + 4\end{aligned}$$
$$\begin{aligned}h\left( x \right) - f\left( x \right)&=-\left(1 + 2 x\right) + 5 + 5 x\\h\left( x \right) - f\left( x \right)&=5 + 5 x + - 2 x - 1\\h\left( x \right) - f\left( x \right)&=3 x + 4\\\end{aligned}$$