Math / Algebra

Question $\begin{array}{l}f(x)=7 \sqrt{x-155} \\ f(159)=\end{array}$

Studdy Solution

STEP 1

What is this asking? We're given a function $f(x)$ involving a square root, and we need to find the value of the function when $x = 159$ . Watch out! Remember that we can't take the square root of a negative number!
Also, be super careful with your order of operations – inside the square root first!

STEP 2

1. Substitute the value
2. Evaluate the expression

STEP 3

Alright, let's kick things off by looking at our function: $f(x) = 7\sqrt{x - 155}$ .
We want to find $f(159)$ , which means we need to substitute $x = 159$ into our function.
It's like plugging in a value into a formula!

STEP 4

So, let's replace every $x$ with $159$ : $f(159) = 7\sqrt{159 - 155}$

STEP 5

Now, let's simplify inside that square root first.
Remember order of operations! $159 - 155 = 4$ So, we have: $f(159) = 7\sqrt{4}$

STEP 6

The square root of 4 is 2, because $2 \cdot 2 = 4$ .
So, we can rewrite our expression as: $f(159) = 7 \cdot 2$

STEP 7

Finally, we multiply $7$ by $2$ to get our final answer: $f(159) = 14$

STEP 8

$f(159) = 14$

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Question $\begin{array}{l}f(x)=7 \sqrt{x-155} \\ f(159)=\end{array}$

Studdy Solution

STEP 1

STEP 2

1. Substitute the value
2. Evaluate the expression

STEP 3

Alright, let's kick things off by looking at our function: $f(x) = 7\sqrt{x - 155}$ .
We want to find $f(159)$ , which means we need to substitute $x = 159$ into our function.
It's like plugging in a value into a formula!

STEP 4

So, let's replace every $x$ with $159$ : $f(159) = 7\sqrt{159 - 155}$

STEP 5

Now, let's simplify inside that square root first.
Remember order of operations! $159 - 155 = 4$ So, we have: $f(159) = 7\sqrt{4}$

STEP 6

The square root of 4 is 2, because $2 \cdot 2 = 4$ .
So, we can rewrite our expression as: $f(159) = 7 \cdot 2$

STEP 7

Finally, we multiply $7$ by $2$ to get our final answer: $f(159) = 14$

STEP 8

$f(159) = 14$

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Questionf(x)=7x−155f(159)=\begin{array}{l}f(x)=7 \sqrt{x-155} \\ f(159)=\end{array}f(x)=7x−155​f(159)=​

Studdy Solution

STEP 1

STEP 2

1. Substitute the value2. Evaluate the expression

STEP 3

Alright, let's **kick things off** by looking at our function: f(x)=7x−155f(x) = 7\sqrt{x - 155}f(x)=7x−155​.We want to find f(159)f(159)f(159), which means we need to **substitute** x=159x = 159x=159 into our function.It's like plugging in a value into a formula!

STEP 4

So, let's **replace** every xxx with 159159159: f(159)=7159−155f(159) = 7\sqrt{159 - 155}f(159)=7159−155​

STEP 5

Now, let's **simplify** inside that square root first.Remember **order of operations**! 159−155=4159 - 155 = 4159−155=4 So, we have: f(159)=74f(159) = 7\sqrt{4}f(159)=74​

STEP 6

The square root of **4** is **2**, because 2⋅2=42 \cdot 2 = 42⋅2=4.So, we can **rewrite** our expression as: f(159)=7⋅2f(159) = 7 \cdot 2f(159)=7⋅2

STEP 7

Finally, we **multiply** 777 by 222 to get our **final answer**: f(159)=14f(159) = 14f(159)=14

STEP 8

f(159)=14f(159) = 14f(159)=14

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Question $\begin{array}{l}f(x)=7 \sqrt{x-155} \\ f(159)=\end{array}$

1. Substitute the value
2. Evaluate the expression

Alright, let's kick things off by looking at our function: $f(x) = 7\sqrt{x - 155}$ .
We want to find $f(159)$ , which means we need to substitute $x = 159$ into our function.
It's like plugging in a value into a formula!

So, let's replace every $x$ with $159$ : $f(159) = 7\sqrt{159 - 155}$

Now, let's simplify inside that square root first.
Remember order of operations! $159 - 155 = 4$ So, we have: $f(159) = 7\sqrt{4}$

The square root of 4 is 2, because $2 \cdot 2 = 4$ .
So, we can rewrite our expression as: $f(159) = 7 \cdot 2$

Finally, we multiply $7$ by $2$ to get our final answer: $f(159) = 14$

$f(159) = 14$