Hi there! We are given three functions below:
[tex] \large \boxed{f(x) = \frac{2 + {x}^{2} }{x + 6}} \\ \large \boxed{g(x) = \sqrt{1 + 7x} } \\ \large \boxed{h(x) = | \frac{3}{4} x - 14 | }[/tex]
Next, we are going to substitute the values that replace x-term. Substitute these values in each functions.
We are given below:
Therefore,
[tex] \large{f(4) = \frac{2 + {4}^{2} }{4 + 6} } \\ \large{g(2) = \sqrt{1 + 7(2)} } \\ \large{h(8) = | \frac{3}{4} (8) - 14}| [/tex]
Then evaluate the value.
[tex] \large{f(4) = \frac{2 + 16}{10} } \\ \large{g(2) = \sqrt{1 + 14} } \\ \large{h(8) = | 3(2) - 14}| [/tex]
[tex] \large{f(4) = \frac{18}{10} \longrightarrow \frac{9}{5} } \\ \large{g(2) = \sqrt{15} } \\ \large{h(8) = | 6- 14| \longrightarrow | - 8| = 8 }[/tex]
Answer
- f(4) = 9/5
- g(2) = sqrt(15)
- h(8) = 8
