Question

Function Evaluation Given the function g(x) = x^2 + 4x - 5 evaluate each of the following. Give your answers as a simplified expressions. A) Evaluate g(- 4x) | g(- 4x) = -x/4 - 1 + 5/4x B) Evaluate g(x - 5) | g(x - 5) = -x/5 - 4/5 + 1/x C) Evaluate g(3x + 8) | g(3x + 8) = (x - 1)(x + 5) / (3x + 8)

          Function Evaluation
Given the function g(x) = x^2 + 4x - 5 evaluate each of the following.
Give your answers as a simplified expressions.
A) Evaluate g(- 4x) | g(- 4x) = -x/4 - 1 + 5/4x
B) Evaluate g(x - 5) | g(x - 5) = -x/5 - 4/5 + 1/x
C) Evaluate g(3x + 8) | g(3x + 8) = (x - 1)(x + 5) / (3x + 8)

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Function Evaluation
Given the function g(x) = x^2 + 4x - 5 evaluate each of the following.
Give your answers as a simplified expressions.
A) Evaluate g(- 4x) | g(- 4x) = -x/4 - 1 + 5/4x
B) Evaluate g(x - 5) | g(x - 5) = -x/5 - 4/5 + 1/x
C) Evaluate g(3x + 8) | g(3x + 8) = (x - 1)(x + 5) / (3x + 8)

Added by Amy A.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Nicole Hoffman

04/05/2022

Step 1

Step 1:** Evaluate g(42) Substitute z = 42 into the function g(z) = 2z + 4x + 5 g(42) = 2(42) + 4x + 5 ** Show more…

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Function Evaluation: Given the function g(x) = x^2 + 4x - 5 evaluate each of the following. Give your answers as a simplified expressions. A) Evaluate g(- 4x) B) Evaluate g(x - 5) C) Evaluate g(3x + 8)

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Transcript

00:01 This question wants me to evaluate this function with three different x values.

00:08 So let's look at the first x value.

00:10 So it wants me to plug in negative 4x.

00:13 So what you're basically going to do is everywhere i see an x here, i'm going to substitute negative 4x into it.

00:20 So it would be, i'm going to put in parentheses.

00:23 So i see an x here.

00:24 It's squared.

00:25 So it's going to be negative 4x squared plus 4.

00:30 Now i see another x, so i'm going to substitute that in.

00:33 Negative 4x minus 5.

00:35 And now i need to simplify this.

00:38 Negative 4 squared is 16.

00:41 X squared is x squared.

00:43 So the squared has to go to the negative 4 and the x.

00:48 Then i'm going to simplify the next.

00:50 4 times negative 4 is negative 16, x, and then minus 5.

00:55 So that would be the first one.

00:58 The second one wants us to do g x minus 5.

01:07 Again, same concept.

01:10 Now instead of x, i'm going to plug in x minus 5.

01:15 So x minus 5 because there's an x there and is squared plus 4 and another x.

01:20 So i'm going to put in x minus 5.

01:24 Now i'm going to have to foil this.

01:27 Okay, so if you remember how to foil, put it here...

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