Find f ( − 3 ) f\left(-3\right) for the following functions. (B) f ( x ) = x + 4 x − 1 f\left(x\right)=\frac{x+4}{x-1}

This problem asks us to find f of negative three for the following functions. Now, notice we are on this practice problem B, where we have f of x is equal to x plus four over x minus one. Since I'm trying to find f of negative three, that just means I need to take every place that I see x, and replace it with negative three. So what we're gonna have is that f of negative three is equal to negative three plus four over negative three minus one. And now we can simplify. Negative three plus four is positive one, and then negative three minus one is negative four. So we're going to end up getting negative one fourth. So that is f of negative three for this function in problem b, and that would be the solution to this example. Hope you found this helpful.

4. Graphs and Functions

Function Notation

Intermediate Algebra

4. Graphs and Functions

Function Notation

Struggling with Intermediate Algebra?

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Multiple Choice

Find $f of negative 3$ for the following functions.
(B) $f (x) = \frac{x + 4}{x - 1}$

$\frac{1}{2}$

$\frac{1}{4}$

$-\frac14$

$-\frac12$

Verified step by step guidance

Identify the function given: $f(x) = \frac{x + 4}{x - 1}$.

Substitute the value $x = -3$ into the function to find $f(-3)$, so write $f(-3) = \frac{-3 + 4}{-3 - 1}$.

Simplify the numerator: calculate $-3 + 4$.

Simplify the denominator: calculate $-3 - 1$.

Write the simplified fraction from the results of the numerator and denominator to express $f(-3)$.

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Struggling with Intermediate Algebra?

Find f(−3)f\left(-3\right) for the following functions.(B) f(x)=x+4x−1f\left(x\right)=\frac{x+4}{x-1}

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Find $f of negative 3$ for the following functions.
(B) $f (x) = \frac{x + 4}{x - 1}$