Candi C.

asked • 10/29/24

Function Notation |Please Help!

Given f(x) = 5x + 3, we need to find…


f(6) =


f(4) =


f(w) =


f(x) = 8

Brenda D.

tutor
Plug in the numbers. This function is a line in Slope Intercept Form.
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10/29/24

Julius N.

Let's tackle each part step-by-step using the function \( f(x) = 5x + 3 \). ### 1. **Finding \( f(6) \):** To find \( f(6) \), plug \( x = 6 \) into the function: \[ f(6) = 5(6) + 3 = 30 + 3 = 33 \] So, **\( f(6) = 33 \)**. ### 2. **Finding \( f(4) \):** To find \( f(4) \), plug \( x = 4 \) into the function: \[ f(4) = 5(4) + 3 = 20 + 3 = 23 \] So, **\( f(4) = 23 \)**. ### 3. **Finding \( f(w) \):** For \( f(w) \), replace \( x \) with \( w \) in the function: \[ f(w) = 5w + 3 \] So, **\( f(w) = 5w + 3 \)**. ### 4. **Solving for \( x \) when \( f(x) = 8 \):** Here, we need to set \( f(x) = 8 \) and solve for \( x \): \[ 5x + 3 = 8 \] Subtract 3 from both sides: \[ 5x = 5 \] Now, divide by 5: \[ x = 1 \] So, **when \( f(x) = 8 \), \( x = 1 \)**. ### Summary of Solutions: - \( f(6) = 33 \) - \( f(4) = 23 \) - \( f(w) = 5w + 3 \) - \( f(x) = 8 \Rightarrow x = 1 \)
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10/29/24

1 Expert Answer

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William W. answered • 10/29/24

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If f(x) = 5x + 3 and we want to determine f(6) then we plug in "6" wherever we see "x" so:

f(6) = 5(6) + 3

f(6) = 30 + 3

f(6) = 33


Then f(4) = 5(4) + 3 = 23


And f(w) = 5w + 3 (there is no simplification that can be done here)


If f(x) = 8 the 5x + 3 = 8

5x + 3 = 8 (subtract 3 from both sides to get:

5x = 5 (divide both sides by 5 to get:

x = 1

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