Question

Which table shows a linear function?

Answer 1

Option 3

Explanation:

Given :

f(x) = x⁵ - 1

g(x) = 5x²

h(x) = 2x

To Find :

g(f(h(9)))

Solving :

g(f(h(x)))

g(f(2x))

g((2x)⁵ - 1)

= 5((2x)⁵ - 1)

= 5((2 × 9)⁵ - 1)²

Answer 2

3rd answer

Explanation:

a linear function is a straight line.

so, h(x) = 2x is one.

you recognize a linear function by seeing that the maximum exponent of x is 1.

(g○f○h)(9) = g(f(h(9)))

h(9) = 2×9 = 18

f(2×9) = (2×9)⁵ - 1

g(f(2×9)) = 5((2×9)⁵ - 1)²