Find the equation of the linear function represented by the table below in slope-
1 answer:
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Answer:
Option c.
Step-by-step explanation:
Given,
f(x) = y = 3x^6
To find f^-1(x), we just need to replace y with x, and x with y
x = 3*y^6
Now we solve for y
f(x)^-1 = y = ±(x/3)^(1/6)
To quickly see if it is a function, we can plot it using an graphing calculator or any plotting tool.
Please see attached picture.
By looking at the plot, we can tell f(x)^-1 is not a function, because for a single value of x, there are two corresponding values of y
Correct answer:
Option C.
Answer:
(fоgоh)(x)=2x³+1
Step-by-step explanation:
Function composition is an operation where two functions, say f(x) and g(x), a new function h(x)=(fоg)(x)=f(g(x)) is generated. In this operation, the function g is applied to the result of the function f. Hence, function f:X→Y and g:Y→Z are joined to form a new function h:X→Z
Given
(fоgоh)(x)=
=
=
=2x³+1