Witch of the following is the function f (x) if F^-1 (x) = x:8+3

Question

Rowan Pennington

Mathematics

5 June, 03:48

Witch of the following is the function f (x) if F^-1 (x) = x:8+3

+1

Answers (1)

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Gunnar Blanchard · Answer 1

Step-by-step explanation:

Let's solve for f.

f-1x=x8+3

Step 1: Multiply both sides by f.

x=fx+24f8

Step 2: Multiply both sides by 8.

8x=fx+24f

Step 3: Flip the equation.

fx+24f=8x

Step 4: Factor out variable f.

f (x+24) = 8x

Step 5: Divide both sides by x+24.

f (x+24) x+24=8xx+24

f=8xx+24

Answer:

f=8x+24

Let's solve for f.

f-1x=x8+3

Step 1: Multiply both sides by f.

x=fx+24f8

Step 2: Multiply both sides by 8.

8x=fx+24f

Step 3: Flip the equation.

fx+24f=8x

Step 4: Factor out variable f.

f (x+24) = 8x

Step 5: Divide both sides by x+24.

f (x+24)

x+24=8x+24

f=8x+24

Answer:

f=8x/x+24