Given f(x) = x^2 + x + 1 h(x) = 3x + 2, evaluate the composite function.

Composite function: If ${\displaystyle f\left(x\right)=3x+1}$ and ${\displaystyle g\left(x\right)=\frac{x}{x^2+25}}$, how to solve ${\displaystyle g\left(f\left(x\right)\right)}$

Explain Composite Functions?

For the composite function, identify an inside function and an oposite fnction abd write the derivative with respect to x of the composite function. (The function is of the form f(x)=g(h(x)). Use non-identity dunctions for g(h) and h(x).)
${\displaystyle f\left(x\right)=71e^{0.2x}}$
{g(h), h(x)} = ?
f'(x) = ?"

Given ${\displaystyle f\left(x\right)=4x^2-3\text{and}g\left(x\right)=6-\frac{1}{2}{x}^2}$
c. $(foff)(1)$

How do you find the ${\displaystyle (f\circ g\circ h)\left(x\right)}$ for ${\displaystyle f\left(x\right)=\frac{x-2}{2x+1},g\left(x\right)=3x+1,h\left(x\right)=x^2}$ ,

Given ${\displaystyle f\left(x\right)=4x^2-3\text{and}g\left(x\right)=6-\frac{1}{2}{x}^2}$
b. $(goff)(2)$

Evaluate the function at given value of the independent variable. Simplify the results.
${\displaystyle f\left(x\right)=\sqrt{x+5}}$
${\displaystyle f\left(4\right)}$