Wednesday 12/23 Lesson Slides: 4 Slides

4 Slides • 4 Questions

1

Wednesday 12/23 November/December Overview

Precalculus - Mr. Campbell

2

Do Now

What is the domain of the function? In other words, what x-values are included.

3

Example

Find the composition of the functions given.

4

Multiple Choice

Find\ f\left(g\left(t\right)\right)

for

f\left(t\right)=4t-2\ and\ g\left(t\right)=-2t-2

1

$2t-4$

2

$8t+2$

3

$-8t-10$

4

$-8t+2$

5

Multiple Choice

$Find\ g\left(h\left(x\right)\right)\ for\ g\left(x\right)=2x-3\ and\ h\left(x\right)=3x+1$

1

$6x-1$

2

$5x-2$

3

$6x-8$

4

$-6x-1$

6

Multiple Choice

$s\left(x\right)=x\left(4-0.05x\right);\ \ e\left(x\right)=20+2x.$ Use the sales and expenses functions to find the revenue function. Remember that

revenue=sales-expenses.

1

$s\left(x\right)=-0.05x^2+2x+20$

2

$s\left(x\right)=0.05x^2-6x+20$

3

$s\left(x\right)=-0.05x^2+2x-20$

4

$s\left(x\right)=0.05x^2+6x-20$

7

Example

$Given\ g\left(n\right)=n-3\ and\ f\left(n\right)=2n^2-2n-3,\ find\ \ \left(g\cdot f\right)\left(n\right).$

8

Multiple Choice

$Given\ f\left(x\right)=x+2\ and\ g\left(x\right)=x^2-2x+3,\ find\ \left(f\cdot g\right)\left(x\right).$

1

$9x^3+3x^2-8x+2$

2

$x^3-x+6$

3

$6x^3-x^2-5x+2$

4

$x^3+4x^2+2x-1$

Wednesday 12/23 November/December Overview

Precalculus - Mr. Campbell

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