Find the requested function value for the given function. Round the answer to the nearest tenth when necessary.

If [tex]f(x) = \sqrt{2x - 9}[/tex], find the value of [tex]f(29)[/tex].

A. 7.6
B. 7
C. 58
D. 49

Answer :

We are given the function

[tex]$$
f(x) = \sqrt{2x - 9}.
$$[/tex]

To find [tex]$f(29)$[/tex], follow these steps:

1. Substitute [tex]$x = 29$[/tex] into the expression inside the square root:

[tex]$$
2(29) - 9.
$$[/tex]

2. Compute the expression:

[tex]$$
2 \times 29 = 58,
$$[/tex]

so

[tex]$$
58 - 9 = 49.
$$[/tex]

3. Now, the function becomes:

[tex]$$
f(29) = \sqrt{49}.
$$[/tex]

4. Calculate the square root:

[tex]$$
\sqrt{49} = 7.
$$[/tex]

5. Since the result is [tex]$7$[/tex], and rounding to the nearest tenth gives [tex]$7.0$[/tex], the final answer is:

[tex]$$
\boxed{7.0}.
$$[/tex]