Question
f(x) = 3x + 4 quad g(x) = 2x - 3 Find: f ∘ g(x)
Ask by Griffiths Wagner.
Feb 23,2025 18:02
UpStudy AI Solution
Tutor-Verified Answer
Answer
(f ∘ g)(x) = 6x - 5
Solution
Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.
Unlock Answered by UpStudy AI and reviewed by a Professional Tutor
Like
The Deep Dive
To find \( f \circ g(x) \), we will substitute \( g(x) \) into \( f(x) \).
First, we calculate \( g(x) \):
\[
g(x) = 2x - 3
\]
Now, we will substitute \( g(x) \) into \( f(x) \):
\[
f(g(x)) = f(2x - 3)
\]
Next, we plug \( 2x - 3 \) into the function \( f(x) = 3x + 4 \):
\[
f(2x - 3) = 3(2x - 3) + 4
\]
Now, simplify this:
\[
= 6x - 9 + 4
\]
\[
= 6x - 5
\]
Thus, the result of \( f \circ g(x) \) is:
\[
f \circ g(x) = 6x - 5
\]
Related Questions
Find the equation (in terms of x) of the line through the points (-2,4) and (4,-14). y=
Algebra
Mar 24, 2025
7. Resuelvo las siguientes ecuaciones de segundo grado, factorizadas y fracciones algobraicas. a) x^{2} - x/2 = 1/3 - 2x/3 b) x^{2}/2-3x/5 = 1/5-x/6 c) 6(x+2)^{2} = 13(x+1)(x+2) d) (2x+1)(x+1) = 5(x+1) e)(4x^{2}-1)(x-5) = 0 f) x/(x+2) = 1/2(x-1)
Algebra
Mar 25, 2025
If this speedometer is graduated in kilometers per hour (kph), what is it reading now in miles per hour (mph)? There are 1.6 kilometers in a mile. What is the speedometer reading in mph if its current in kph?
Algebra
Aug 07, 2026
For f(x)=7x+8 and g(x)=x^{2}, find the following composite functions and state the domain of each. (a) f circ g (b) g circ f (c) f circ f (d) g circ g (a) (f circ g)(x)=7 x^{2}+8 (Simplify your answer.) Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The domain of f circ g is {x}. (Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to) B. The domain of f circ g is all real numbers. (b) (g circ f)(x)= (Simplify your answer.)
Algebra
Mar 24, 2025
Simplity by combining like terms: 6(x+2y)+4
Algebra
Mar 28, 2025
