Answer :
We are given the functions
[tex]$$
f(x) = -2x + 6 \quad \text{and} \quad g(x) = 9x^2 + 5.
$$[/tex]
We need to compute [tex]$f(5)$[/tex] and [tex]$g(5)$[/tex], then find their sum.
Step 1. Calculate [tex]$f(5)$[/tex]
Substitute [tex]$x = 5$[/tex] into [tex]$f(x)$[/tex]:
[tex]$$
f(5) = -2(5) + 6 = -10 + 6 = -4.
$$[/tex]
Step 2. Calculate [tex]$g(5)$[/tex]
Substitute [tex]$x = 5$[/tex] into [tex]$g(x)$[/tex]:
[tex]$$
g(5) = 9(5)^2 + 5 = 9(25) + 5 = 225 + 5 = 230.
$$[/tex]
Step 3. Sum the results
Now add [tex]$f(5)$[/tex] and [tex]$g(5)$[/tex]:
[tex]$$
f(5) + g(5) = -4 + 230 = 226.
$$[/tex]
Thus, the final answer is [tex]$\boxed{226}$[/tex].
[tex]$$
f(x) = -2x + 6 \quad \text{and} \quad g(x) = 9x^2 + 5.
$$[/tex]
We need to compute [tex]$f(5)$[/tex] and [tex]$g(5)$[/tex], then find their sum.
Step 1. Calculate [tex]$f(5)$[/tex]
Substitute [tex]$x = 5$[/tex] into [tex]$f(x)$[/tex]:
[tex]$$
f(5) = -2(5) + 6 = -10 + 6 = -4.
$$[/tex]
Step 2. Calculate [tex]$g(5)$[/tex]
Substitute [tex]$x = 5$[/tex] into [tex]$g(x)$[/tex]:
[tex]$$
g(5) = 9(5)^2 + 5 = 9(25) + 5 = 225 + 5 = 230.
$$[/tex]
Step 3. Sum the results
Now add [tex]$f(5)$[/tex] and [tex]$g(5)$[/tex]:
[tex]$$
f(5) + g(5) = -4 + 230 = 226.
$$[/tex]
Thus, the final answer is [tex]$\boxed{226}$[/tex].
