Answer:
y = 4x + 7
x = 4y + 7
x - 7 = 4y
[tex]\frac{x-7}{4}[/tex] = y
f⁻¹(x) = [tex]\frac{x-7}{4}[/tex]
Step-by-step explanation:
To find the inverse function, switch the variables and solve for y:
y = 4x + 7
x = 4y + 7
subtract 7:
x - 7 = 4y
divide by 4:
[tex]\frac{x-7}{4}[/tex] = y
write as a function:
f⁻¹(x) = [tex]\frac{x-7}{4}[/tex]
