Answer :
To find the value of [tex]\( f(29) \)[/tex] for the function [tex]\( f(x) = \sqrt{2x - 9} \)[/tex], follow these steps:
1. Substitute 29 for [tex]\( x \)[/tex]:
The function given is [tex]\( f(x) = \sqrt{2x - 9} \)[/tex]. So, we plug in 29 for [tex]\( x \)[/tex] to find [tex]\( f(29) \)[/tex].
[tex]\[
f(29) = \sqrt{2 \times 29 - 9}
\][/tex]
2. Calculate inside the square root:
First, multiply 2 by 29:
[tex]\[
2 \times 29 = 58
\][/tex]
Then, subtract 9 from 58:
[tex]\[
58 - 9 = 49
\][/tex]
3. Find the square root:
Now, calculate the square root of 49:
[tex]\[
\sqrt{49} = 7
\][/tex]
4. Round the result:
Since the result is already an integer, rounding [tex]\( 7 \)[/tex] to the nearest tenth yields [tex]\( 7.0 \)[/tex].
Therefore, the value of [tex]\( f(29) \)[/tex] is [tex]\( 7.0 \)[/tex].
1. Substitute 29 for [tex]\( x \)[/tex]:
The function given is [tex]\( f(x) = \sqrt{2x - 9} \)[/tex]. So, we plug in 29 for [tex]\( x \)[/tex] to find [tex]\( f(29) \)[/tex].
[tex]\[
f(29) = \sqrt{2 \times 29 - 9}
\][/tex]
2. Calculate inside the square root:
First, multiply 2 by 29:
[tex]\[
2 \times 29 = 58
\][/tex]
Then, subtract 9 from 58:
[tex]\[
58 - 9 = 49
\][/tex]
3. Find the square root:
Now, calculate the square root of 49:
[tex]\[
\sqrt{49} = 7
\][/tex]
4. Round the result:
Since the result is already an integer, rounding [tex]\( 7 \)[/tex] to the nearest tenth yields [tex]\( 7.0 \)[/tex].
Therefore, the value of [tex]\( f(29) \)[/tex] is [tex]\( 7.0 \)[/tex].
