To find the inverse of the function f(x) = 8 - 6x^7, we need to follow these steps:

1. Replace f(x) with y. This gives us y = 8 - 6x^7.

2. Swap x and y. This gives us x = 8 - 6y^7.

3. Solve for y. This is the tricky part. First, we isolate the term with y by subtracting 8 from both sides: -6y^7 = x - 8.

4. Then, we divide both sides by -6 to get y^7 = (8 - x) / 6.

5. Finally, we take the seventh root of both sides to solve for y. This gives us the inverse function: f^-1(x) = ((8 - x) / 6)^(1/7).

Question

To find the inverse of the function f(x) = 8 - 6x^7, we need to follow these steps:

1. Replace f(x) with y. This gives us y = 8 - 6x^7.

2. Swap x and y. This gives us x = 8 - 6y^7.

3. Solve for y. This is the tricky part. First, we isolate the term with y by subtracting 8 from both sides: -6y^7 = x - 8.

4. Then, we divide both sides by -6 to get y^7 = (8 - x) / 6.

5. Finally, we take the seventh root of both sides to solve for y. This gives us the inverse function: f^-1(x) = ((8 - x) / 6)^(1/7).

Knowee AI · Accepted Answer

To find the inverse of the function f(x) = 8 - 6x^7, we need to follow these steps:

1. Replace f(x) with y. This gives us y = 8 - 6x^7.

2. Swap x and y. This gives us x = 8 - 6y^7.

3. Solve for y. This is the tricky part. First, we isolate the term with y by subtracting 8 from both sides: -6y^7 = x - 8.

4. Then, we divide both sides by -6 to get y^7 = (8 - x) / 6.

5. Finally, we take the seventh root of both sides to solve for y. This gives us the inverse function: f^-1(x) = ((8 - x) / 6)^(1/7).

The inverse of the function 𝑓(𝑥)=8−6𝑥7 is the function:𝑓−1(𝑥)=