Solve the Function Operation f(x)=7x+11 g(x)=-2x+3 h(x)=3x^2+1 (h/f)(x)

$f (x) = 7 x + 11$ $g (x) = - 2 x + 3$ $h (x) = 3 x^{2} + 1$ $(\frac{h}{f}) (x)$

Step 1

Replace the function designators in $\frac{h}{f}$ with the actual functions.

$\frac{3 x^{2} + 1}{7 x + 11}$

Step 2

Evaluate $\frac{h}{f}$ at $x$ .

$\frac{3 {(x)}^{2} + 1}{7 (x) + 11}$

Step 3

Simplify $\frac{3 {(x)}^{2} + 1}{7 (x) + 11}$ .

Remove parentheses.

$\frac{3 {(x)}^{2} + 1}{7 (x) + 11}$

Multiply $7$ by $x$ .

$\frac{3 x^{2} + 1}{7 x + 11}$