precalc 1.4 AA

Front

Given g(x)= -3x and f(x)=x²+2, find g(f(x)).

Back

g(f(x))= -3x²-6

Front

Given f(x)= -3x + 7 and g(x)=2x² - 8, find g(f(x)).

Back

g(f(x))=18x²-84x + 90

Front

Given j(x) = ∛(x-1) and h(x) = x³+1, find j(h(x)).

Back

j(h(x))=x

Front

Which expression represents g(f(x)) if f(x) = 2x - 8 and g(x) = 4x?

Back

g(f(x))=8x - 32

Front

What is the composition of functions?

Back

The composition of functions is applying one function to the result of another function, denoted as (f◦g)(x) = f(g(x)).

Front

If f(x) = x² and g(x) = x + 1, what is g(f(2))?

Back

g(f(2)) = g(4) = 5.

Front

Define a function. Give an example.

Back

A function is a relation that assigns exactly one output for each input. Example: f(x) = 2x + 3.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you find the inverse of a function?

Back

To find the inverse, swap the x and y in the equation and solve for y.