Composition of Functions

Front

Which functions were composed and in what order to create C(x) = |∛(2x - 5) + 3|? Options: g(f(x)), j(g(f(x))), j(f(g(x))), g(j(f(x)))

Back

j(f(g(x)))

Front

Functions: f(x) = ∛(x), g(x) = 2x - 5, h(x) = 2x², j(x) = |x + 3|. Which functions were composed to create C(x) = 2(|x+ 3|)^⅔?

Back

h(f(j(x)))

Front

Determine which two functions are composed so that f(g(x)) = h(x), where h(x) = (x-3)² - 5. Options: f(x) = x - 3; g(x) = x² - 5, f(x) = (x - 3)²; g(x) = x - 5, f(x) = x - 7; g(x) = (x - 3)²+2, f(x) = x²; g(x) = (x - 3) - 5

Back

f(x) = x - 7; g(x) = (x - 3)²+2

Front

Back

4

Front

Back

7

Front

Back

8

Front

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of f(g(4)).

Back

182

Front

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of g(f(½)).

Back

13/4

Front

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of g(f(-2)).

Back

7

Front

Back

5