Subject: Mathematics
Book: Maths Mastery
Function composition f(g(x)) means applying g first, then feeding that result into f. For instance, if f(x)=x²+1 and g(x)=2x–3, then f(g(x))= (2x–3)²+1=4x²–12x+9+1=4x²–12x+10. Composition frequently appears in advanced algebra, transformations, and chain-rule usage in calculus. In real-world models, you might first calculate a cost function g(x), then apply a tax function f to g(x). Mastery of composition fosters advanced manipulations of nested processes and underpins functional decomposition strategies in computing, engineering, or multi-stage transformations.
The probability of rolling a sum of 7 with two dice is:
View QuestionA car travels 240 km in 4 hours. What is its average speed?
View QuestionWhat is the remainder when 5^100 is divided by 3?
View QuestionWhat is the length of the diagonal of a square with a side length of 7 cm?
View QuestionIf x^2 + 4x + 4 = 0, what is the value of x?
View QuestionA sum triples in 20 years at simple interest. What is the rate of interest per annum?
View QuestionWhat is the square root of 0.25?
View QuestionIf a + b = 10 and ab = 21, what is the value of a^2 + b^2?
View QuestionIf 2x - 3 = 7, what is the value of x?
View QuestionA number is increased by 20% and then decreased by 10%. What is the net change?
View Question