Question

for the functions f(x)= √x-4, find f-⁴ , what is range of f-¹​

Answer 1

Answer:

Step-by-step explanation:

Suppose that f(x) has a domain of [9,15] and a range of [4,11]. ... Hint: What are the possible output values √x, sint, |z| ? f(x):[0,1], ... Let f(x)=1/(x⁴+1), g(x)=x⁻⁴. Calculate the composite functions f(g(x)) and g(f(x)) and determine their domains. Here we have the function f(x) = 2x+3, written as a flow diagram: 2x+3 ... f-1(y). We say "f inverse of y". So, the inverse of f(x) = 2x+3 is written: f-1(y) = (y-3)/2 ... Using the formulas from above, we can start with x=4: f(4) = 2×4+3 ... For you: see if you can do the steps to create that inverse! ... Example: Square and Square Root. When a function has no inverse function, it is possible to create a new function where ... f​−1​​(x)=x​2​​, because a square “undoes” a square root; but the square is only ... Example 4: Finding the Inverses of Toolkit Functions ... x \displaystyle f\left(x\right)=x f(x)=x, f ( x ) = x 2 \displaystyle f\left(x\right)={x}^{2} f(x)=x​2​​ ... f(x)=(x−3)2(2x−1), Cubic polynomial (convince yourself that the largest power will be three when expanded) ... columns) as x grows. Sum them and add the constant term (22) to find the value of the polynomial. ... For example, the quadratic function f(x) = (x+2)(x-4) has single roots at x = -2 and x = 4. ... x=±√2andx=±√3. The function f(x) = x is one to one, because if x1 = x2, then f(x1) = f(x2). ... Example If f(x) = x3 + 1, use the equivalence of equations given above find f-1(9) ... of f and the range of f-1 equals the domain of f. Example Let g(x) = √. 4x + 4.

Hope this helps pls thx me and brainlist me thx ❤❤❤