Keith used the following steps to find the inverse of f, but he thinks he made an error. Step 1. f(x) = 7x + 5 given

Step 2. y = 7x + 5 change f(x) to y

Step 3. x = 7y + 5 switch x and y

Step 4. x + 5 = 7y + 5 add 5 to each side

Step 5. x + 5 = 7y divide each side by 7

Step 6. x + 5/7 = y change y to g(x)

Step 7. g(x) = x + 5/7 switch sides of the equation

what is

step-by-step explanation:

c.

step-by-step explanation:

x^2 + 81

we can factor this using difference of square binomials.

rewrite the equation:

x^2 - (-81)

factor:

(a^2 - b^2) = (√a^2 + √b^2)(√a^2 - √b^2)

(x^2 - (-81) = (x + √-81)(x - √-81)

we can remove the - from under the radical by multiplying it by i.

(x^2 - (-81) = (x + i√81)(x - i√81)

(x^2 - (-81) = (x + 9i)(x - 9i)

we can check our answer by using foil:

x^2 - 9ix + 9ix - 81i^2

x^2 - 81^2

i^2 = -1

x^2 + 81