Answer:
d. h(x) = 4x + 48
Step-by-step explanation:
[tex]f(x) = \frac{1}{4} x - 12[/tex]
[tex]y = \frac{1}{4} x - 12[/tex]
[tex]x = \frac{1}{4} y - 12[/tex]
[tex] \frac{1}{4} y - 12 = x = 4( \frac{1}{4} y - 12) = 4x[/tex]
[tex]4 \times \frac{1}{4} y - 4 \times 12 = 4x[/tex]
[tex]y - 48 = 4x[/tex]
[tex]y = 4x + 48[/tex]
[tex]\boxed{\green{= h(x) = 4x + 48}}[/tex]
