Express the given function h as a composition of two functions f and g so that h (x) equals (f circle g) (x) commah (x) = (f◦g) (x), where one of the functions is 4 x minus 3.4x-3. h (x) equals (4 x minus 3) Superscript 8h (x) = (4x-3) 8 f (x) f (x) equals=4 x minus 3

Question

Mathematics

Ayanna Johnson

9 February, 12:25

Express the given function h as a composition of two functions f and g so that h (x) equals (f circle g) (x) commah (x) = (f◦g) (x), where one of the functions is 4 x minus 3.4x-3. h (x) equals (4 x minus 3) Superscript 8h (x) = (4x-3) 8 f (x) f (x) equals=4 x minus 3

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Swiss Miss · Answer 1

h (x) = g o f (x), with f (x) = 4x-3 and g (x) = x⁸

Step-by-step explanation:

f (x) = 4x-3

h (x) = (4x-3) ⁸

Note that what we do with f to obtain h is power the expression 4x-3 given by f 8 times, thus what we are composing f with a function g that takes a value and power it by 8, as a consecuence g (x) = x⁸, and h (x) = g o f (x), with f (x) = 4x-3 and g (x) = x⁸.