F: x 5 – 3x. (a) Find f(–1). (b) Find f –1(x).

Step-by-step explanation:

Given

Required

and

Solving for f(-1)

Substitute -1 for x in

Solving for

Let y = f(x)

Interchange the position of x and y

Make y the subject of formula (add 3y to both sides)

Subtract x from both sides

Divide through by 3

Replace y with

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!