Questions: For f(x)=4x and g(x)=x+2, find the following functions: a. (f ∘ g)(x); b. (g∘ /)(x); c. (f∘ g)(2); d. (9∘ 0)(2).

For f(x)=4x and g(x)=x+2, find the following functions: a. (f ∘ g)(x); b. (g∘ /)(x); c. (f∘ g)(2); d. (9∘ 0)(2).
Transcript text: For $f(x)=4 x$ and $g(x)=x+2$, find the following functions: a. $(f \circ g)(x)$; b. $\left(g^{\circ} /(x)\right.$; c. $\left(f^{\circ} \mathrm{g}\right)(2)$; d. $\left(9^{\circ} 0\right)(2)$.
failed

Solution

failed
failed

Solution Steps

Step 1: Finding the composition $(f \circ g)(x)$

First, evaluate $g(2) = 4$. Then, substitute this into $f(x)$ to get $f(g(2)) = 16$. After simplification, $(f \circ g)(2) = 16$.

Step 2: Finding the composition $(g \circ f)(x)$

First, evaluate $f(2) = 8$. Then, substitute this into $g(x)$ to get $g(f(2)) = 10$. After simplification, $(g \circ f)(2) = 10$.

Final Answer:

The composition $(f \circ g)(2)$ is approximately 16 when rounded to 2 decimal places. The composition $(g \circ f)(2)$ is approximately 10 when rounded to 2 decimal places.

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
=(√2+7)(1/2√2)−(√2−7)(1/2√2)/(√2+7)^2
failedAnswered
Employers are looking for two principle traits in all radiologic science professionals. These traits are technical competency and teamwork skills.
failedAnswered
Calculate. 5 × 10^7 / 4 × 10^5 Write your answer in scientific notation.
failedAnswered
A piece of sheet metal measuring 50 cm × 40 cm has squares cut out of each corner so that it can be bent and formed into an open box (with no lid) with a base area of 1344 cm^2. Find the dimensions of the box.
failedAnswered
The following stem-and-leaf plot represents the distribution of weights for a group of people. Stem Leaves 12 3 3 5 7 7 8 13 1 2 2 5 14 3 4 4 9 15 6 6 7 16 2 3 3 7 7 17 3 4 4 6 9 18 1 1 4 19 7 8 9 20 0 4 7 9 Key: 12 3=123 pounds What is the weight of the heaviest person in the range 160 to 169 inclusive?