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Composition of Functions

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Wize High School Grade 12 Pre-Calculus Textbook > Combination of Functions

Composition of Functions

5 Activities

Wize High School Algebra II Textbook (Common Core) > Combination of Functions

Composition of Functions

5 Activities

Practice: Composition of Functions

Gwen is shopping at Whole Foods. She gets a 10% discount when she uses her loyalty card. She also has a coupon for $35 off her purchase. The store allows you to use them in any order.

Which is the better deal:
  1. Using the $35\$35 coupon first then the 10%10\% discount?
  2. Using the 10%10\% discount first then the $35\$35 coupon?



More Composition of Functions Questions:
Composition of Functions
Practice: Composition of Functions
Let f=gg+1f=\dfrac{g}{g+1}, g=2hg=2h, and h=x+3h=x+3. What is f(x)?f(x)?
Composition of Functions
Practice: Composition of Functions
Let f=6g2f=6g^2, g=h+2g=h+2, and h=4x+3h=4x+3. What is f(x)?f(x)?
Composition of Functions
Practice: Composition of Functions
Joey is out for dinner with his husband, Carlos. The bill comes and the cost is $45.82\$45.82 plus tax, which amounts to $51.32\$51.32. They also told the waiter that they had a loyalty card that allows them 20%20\% off the bill including gratuity.
They are debating whether or not they should tip %15\%15 ontop of $45.82\$45.82 and then use their %20\%20 coupon or if they should tip 10%10\% ontop of $51.32\$51.32 and then use their 20%20\% off coupon.
Composition of Functions
Practice: Composition of Functions
Let f(x)=1x+4f(x)=\dfrac{1}{x+4} and g(x)=1x−2g(x)=\dfrac{1}{x-2}. Determine the following:
Composition of Functions
Practice: Composition of Functions
Let f(x)=x2+1f(x)=x^2+1 and g(x)=xg(x)=\sqrt{x}. Determine the following:
Combination of Functions
If f(x)=1x−2f(x)=\dfrac{1}{x-2} and g(x)=23x+4g(x)=\dfrac{2}{3x+4}, then determine the following:
Combination of Functions
If f(x)=x−2x+1f(x)=\dfrac{x-2}{x+1} and g(x)=2x+33x−1g(x)=\dfrac{2x+3}{3x-1}, then determine:
More Composition of Functions Questions:
Composition of Functions
Practice: Composition of Functions
Let f=gg+1f=\dfrac{g}{g+1}, g=2hg=2h, and h=x+3h=x+3. What is f(x)?f(x)?
Composition of Functions
Practice: Composition of Functions
Let f=6g2f=6g^2, g=h+2g=h+2, and h=4x+3h=4x+3. What is f(x)?f(x)?
Composition of Functions
Practice: Composition of Functions
Joey is out for dinner with his husband, Carlos. The bill comes and the cost is $45.82\$45.82 plus tax, which amounts to $51.32\$51.32. They also told the waiter that they had a loyalty card that allows them 20%20\% off the bill including gratuity.
They are debating whether or not they should tip %15\%15 ontop of $45.82\$45.82 and then use their %20\%20 coupon or if they should tip 10%10\% ontop of $51.32\$51.32 and then use their 20%20\% off coupon.
Composition of Functions
Practice: Composition of Functions
Let f(x)=1x+4f(x)=\dfrac{1}{x+4} and g(x)=1x−2g(x)=\dfrac{1}{x-2}. Determine the following:
Composition of Functions
Practice: Composition of Functions
Let f(x)=x2+1f(x)=x^2+1 and g(x)=xg(x)=\sqrt{x}. Determine the following:
Combination of Functions
If f(x)=1x−2f(x)=\dfrac{1}{x-2} and g(x)=23x+4g(x)=\dfrac{2}{3x+4}, then determine the following:
Combination of Functions
If f(x)=x−2x+1f(x)=\dfrac{x-2}{x+1} and g(x)=2x+33x−1g(x)=\dfrac{2x+3}{3x-1}, then determine: