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100PT AND BRAINLIEST! Two functions are graphed below. The exponential function is g. The linear function is h. Which option below gives the formula of k (x) = g(x) × h (x)?

A. k(x) = 2^x + 1

B. k(x) = x2^x + 1

C. k(x) = 2^x - 1

D. k(x) = x2^x - 1

Thanks so much in advance for your help, have a great day! :)

100PT AND BRAINLIEST Two functions are graphed below The exponential function is g The linear function is h Which option below gives the formula of k x gx h xA class=

Respuesta :

For h(x)

See line passes through

  • (0,2)
  • (2,4)
  • (3,6)

The function is

  • y=2x

For g(x)

Line passes through

  • (0,1)
  • (1,2)
  • (2,4)

Observe

  • 2⁰=1
  • 2¹=1
  • 2²=4

So

The function is

  • y=2^x

Now

k(x)

  • g(x)×h(x)
  • 2^x(2x)
  • 2^{x+1}x
  • x2^x+x